@article{https://authors.library.caltech.edu/records/evnx5-paj70,
    title = "Cwikel–Lieb–Rozenblum type inequalities for Hardy–Schrödinger operator",
    journal = "Journal de Mathématiques Pures et Appliquées",
    year = "2024",
    url = "https://authors.library.caltech.edu/records/evnx5-paj70",
    id = "record",
    issn = "0021-7824",
    doi = "10.1016/j.matpur.2024.103598",
    volume = "190"
}


@article{https://authors.library.caltech.edu/records/7sz4q-0za84,
    title = "Endpoint Schatten class properties of commutators",
    journal = "Advances in Mathematics",
    year = "2024",
    url = "https://authors.library.caltech.edu/records/7sz4q-0za84",
    id = "record",
    issn = "0001-8708",
    doi = "10.1016/j.aim.2024.109738",
    volume = "450"
}


@article{https://authors.library.caltech.edu/records/cvhrx-tay03,
    title = "Hardy inequalities for large fermionic systems",
    journal = "Journal of Spectral Theory",
    year = "2024",
    url = "https://authors.library.caltech.edu/records/cvhrx-tay03",
    id = "record",
    issn = "1664-039X",
    doi = "10.4171/jst/511",
    volume = "14"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20230525-771644200.5,
    title = "Sharp inequalities for coherent states and their optimizers",
    journal = "Advanced Nonlinear Studies",
    year = "2023",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20230525-771644200.5",
    id = "record",
    issn = "2169-0375",
    doi = "10.1515/ans-2022-0050",
    volume = "23"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20230124-11595100.7,
    title = "Asymptotics of singular values for quantum derivatives",
    journal = "Transactions of the American Mathematical Society",
    year = "2023",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20230124-11595100.7",
    id = "record",
    issn = "0002-9947",
    doi = "10.1090/tran/8827",
    volume = "376"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20230209-988069100.27,
    title = "The Scott conjecture for large Coulomb systems: a review",
    journal = "Letters in Mathematical Physics",
    year = "2023",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20230209-988069100.27",
    id = "record",
    issn = "0377-9017",
    doi = "10.1007/s11005-023-01631-9",
    volume = "113"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20221019-344256700.16,
    title = "An inequality for the normal derivative of the Lane-Emden ground state",
    journal = "Advances in Calculus of Variations",
    year = "2022",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20221019-344256700.16",
    id = "record",
    issn = "1864-8258",
    doi = "10.1515/acv-2022-0005"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20230227-87934600.14,
    title = "Degenerate stability of some Sobolev inequalities",
    journal = "Analyse Nonlineaire, Annales Institute H. Poincaré",
    year = "2022",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20230227-87934600.14",
    id = "record",
    issn = "0294-1449",
    doi = "10.4171/aihpc/35",
    volume = "39"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20211004-222702303,
    title = "Fast Diffusion leads to partial mass concentration in Keller–Segel type stationary solutions",
    journal = "Mathematical Models and Methods in Applied Sciences",
    year = "2022",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20211004-222702303",
    id = "record",
    issn = "0218-2025",
    doi = "10.1142/S021820252250018X",
    volume = "32"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20211202-191328270,
    title = "Counting eigenvalues of Schrödinger operators with fast decaying complex potentials",
    journal = "Advances in Mathematics",
    year = "2022",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20211202-191328270",
    id = "record",
    issn = "0001-8708",
    doi = "10.1016/j.aim.2021.108115",
    volume = "397"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20211208-559893000,
    title = "Minimizers for a one-dimensional interaction energy",
    journal = "Nonlinear Analysis",
    year = "2022",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20211208-559893000",
    id = "record",
    issn = "0362-546X",
    doi = "10.1016/j.na.2021.112691",
    volume = "216"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20211004-232831449,
    title = "Reverse conformally invariant Sobolev inequalities on the sphere",
    journal = "Journal of Functional Analysis",
    year = "2022",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20211004-232831449",
    id = "record",
    issn = "0022-1236",
    doi = "10.1016/j.jfa.2021.109339",
    volume = "282"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20211018-185208122,
    title = "Logarithmic estimates for mean-field models in dimension two and the Schrödinger–Poisson system",
    journal = "Comptes Rendus Mathématique",
    year = "2022",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20211018-185208122",
    id = "record",
    issn = "1631-073X",
    doi = "10.5802/crmath.272",
    volume = "359"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20211011-213336774,
    title = "Existence and nonexistence in the liquid drop model",
    journal = "Calculus of Variations and Partial Differential Equations",
    year = "2021",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20211011-213336774",
    id = "record",
    issn = "0944-2669",
    doi = "10.1007/s00526-021-02072-9",
    volume = "60"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20211018-185252726,
    title = "Discrete Schrödinger operators with decaying and oscillating potentials",
    year = "2021",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20211018-185252726",
    id = "record",
    doi = "10.48550/arXiv.2108.05083"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20211018-185313891,
    title = "Optimizers for the finite-rank Lieb-Thirring inequality",
    year = "2021",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20211018-185313891",
    id = "record",
    doi = "10.48550/arXiv.2109.05984"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20211018-185230397,
    title = "Degenerate stability of some Sobolev inequalities",
    year = "2021",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20211018-185230397",
    id = "record",
    doi = "10.48550/arXiv.2107.11608"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20211018-185216561,
    title = "Existence of optimizers in a Sobolev inequality for vector fields",
    year = "2021",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20211018-185216561",
    id = "record",
    doi = "10.48550/arXiv.2107.06450"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20210628-191053213,
    title = "Hypercontractivity of the semigroup of the fractional Laplacian on the n-sphere",
    journal = "Journal of Functional Analysis",
    year = "2021",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210628-191053213",
    id = "record",
    issn = "0022-1236",
    doi = "10.1016/j.jfa.2021.109145",
    volume = "281"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20211004-232828060,
    title = "On the spectrum of the Kronig-Penney model in a constant electric field",
    year = "2021",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20211004-232828060",
    id = "record",
    doi = "10.48550/arXiv.2104.10256"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20211004-232817904,
    title = "Blow-up of solutions of critical elliptic equation in three dimensions",
    year = "2021",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20211004-232817904",
    id = "record",
    doi = "10.48550/arXiv.2102.10525"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20211004-222705713,
    title = "Which magnetic fields support a zero mode?",
    journal = "Journal für die reine und angewandte Mathematik",
    year = "2021",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20211004-222705713",
    id = "record",
    issn = "1435-5345",
    doi = "10.1515/crelle-2022-0015"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20211004-222648670,
    title = "Relativistic Strong Scott Conjecture: A Short Proof",
    year = "2021",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20211004-222648670",
    id = "record",
    doi = "10.48550/arXiv.2009.02474"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20211004-222658897,
    title = "Semiclassical asymptotics for a class of singular Schrödinger operators",
    year = "2021",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20211004-222658897",
    id = "record",
    doi = "10.48550/arXiv.2010.05417"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20211004-222655493,
    title = "The periodic Lieb-Thirring inequality",
    year = "2021",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20211004-222655493",
    id = "record",
    doi = "10.48550/arXiv.2010.02981"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20211201-160010515,
    title = "Proof of spherical flocking based on quantitative rearrangement inequalities",
    journal = "Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V",
    year = "2021",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20211201-160010515",
    id = "record",
    issn = "2036-2145",
    doi = "10.2422/2036-2145.201909\_007",
    volume = "22"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20211018-185309868,
    title = "Some minimization problems for mean field models with competing forces",
    year = "2021",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20211018-185309868",
    id = "record",
    doi = "10.48550/arXiv.2109.02393"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20210713-164447574,
    title = "The Lieb-Thirring inequality revisited",
    journal = "Journal of the European Mathematical Society",
    year = "2021",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210713-164447574",
    id = "record",
    issn = "1435-9855",
    doi = "10.4171/jems/1062",
    volume = "23"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20200819-152827513,
    title = "The Nonlinear Schrödinger Equation for Orthonormal Functions II: Application to Lieb–Thirring Inequalities",
    journal = "Communications in Mathematical Physics",
    year = "2021",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200819-152827513",
    id = "record",
    issn = "0010-3616",
    doi = "10.1007/s00220-021-04039-5",
    volume = "384"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20210416-094618696,
    title = "Two Consequences of Davies' Hardy Inequality",
    journal = "Functional Analysis and Its Applications",
    year = "2021",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210416-094618696",
    id = "record",
    issn = "0016-2663",
    doi = "10.1134/S0016266321020106",
    volume = "55"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20210222-100903531,
    title = "Energy asymptotics in the three-dimensional Brezis–Nirenberg problem",
    journal = "Calculus of Variations and Partial Differential Equations",
    year = "2021",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210222-100903531",
    id = "record",
    issn = "0944-2669",
    doi = "10.1007/s00526-021-01929-3",
    volume = "60"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20200526-144324896,
    title = "Inequalities for Lᵖ-Norms that Sharpen the Triangle Inequality and Complement Hanner's Inequality",
    journal = "Journal of Geometric Analysis",
    year = "2021",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200526-144324896",
    id = "record",
    issn = "1050-6926",
    doi = "10.1007/s12220-020-00425-y",
    volume = "31"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20200928-152152135,
    title = "Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron",
    journal = "Communications on Pure and Applied Mathematics",
    year = "2021",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200928-152152135",
    id = "record",
    issn = "0010-3640",
    doi = "10.1002/cpa.21944",
    volume = "74"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20190520-135826551,
    title = "Equivalence of Sobolev Norms Involving Generalized Hardy Operators",
    journal = "International Mathematics Research Notices",
    year = "2021",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190520-135826551",
    id = "record",
    issn = "1073-7928",
    doi = "10.1093/imrn/rnz135",
    volume = "2021"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20200910-141623696,
    title = "Classification of solutions of an equation related to a conformal log Sobolev inequality",
    journal = "Advances in Mathematics",
    year = "2020",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200910-141623696",
    id = "record",
    issn = "0001-8708",
    doi = "10.1016/j.aim.2020.107395",
    volume = "375"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20210114-143038456,
    title = "Non-degeneracy for the critical Lane–Emden system",
    journal = "Proceedings of the American Mathematical Society",
    year = "2020",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210114-143038456",
    id = "record",
    issn = "0002-9939",
    doi = "10.1090/proc/15217",
    volume = "149"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20200515-091132161,
    title = "A non-linear adiabatic theorem for the one-dimensional Landau–Pekar equations",
    journal = "Journal of Functional Analysis",
    year = "2020",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200515-091132161",
    id = "record",
    issn = "0022-1236",
    doi = "10.1016/j.jfa.2020.108631",
    volume = "279"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20190520-133710218,
    title = "Two-term spectral asymptotics for the Dirichlet Laplacian in a Lipschitz domain",
    journal = "Journal für die reine und angewandte Mathematik",
    year = "2020",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190520-133710218",
    id = "record",
    issn = "0075-4102",
    doi = "10.1515/crelle-2019-0019",
    volume = "2020"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20200819-122507869,
    title = "The Lieb-Thirring inequalities: Recent results and open problems",
    year = "2020",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200819-122507869",
    id = "record",
    doi = "10.48550/arXiv.2007.09326"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20200819-151324737,
    title = "Sharp Weyl laws with singular potentials",
    year = "2020",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200819-151324737",
    id = "record",
    doi = "10.48550/arXiv.2007.04284"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20190520-133118107,
    title = "Inequalities that sharpen the triangle inequality for sums of N functions in L^p",
    journal = "Arkiv för Matematik",
    year = "2020",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190520-133118107",
    id = "record",
    issn = "0004-2080",
    doi = "10.4310/ARKIV.2020.v58.n1.a4",
    volume = "58"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20190520-135621604,
    title = "Liquid Drop Model for Nuclear Matter in the Dilute Limit",
    journal = "SIAM Journal on Mathematical Analysis",
    year = "2020",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190520-135621604",
    id = "record",
    issn = "0036-1410",
    doi = "10.1137/19M1274420",
    volume = "52"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20200420-145908047,
    title = "On the error in the two-term Weyl formula for the Dirichlet Laplacian",
    journal = "Journal of Mathematical Physics",
    year = "2020",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200420-145908047",
    id = "record",
    issn = "0022-2488",
    doi = "10.1063/1.5145003",
    volume = "61"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20190520-135426746,
    title = "Sharp decay estimates for critical Dirac equations",
    journal = "Transactions of the American Mathematical Society",
    year = "2020",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190520-135426746",
    id = "record",
    issn = "0002-9947",
    doi = "10.1090/tran/7958",
    volume = "373"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20200109-110319953,
    title = "Proof of the Strong Scott Conjecture for Chandrasekhar Atoms",
    journal = "Pure and Applied Functional Analysis",
    year = "2020",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200109-110319953",
    id = "record",
    issn = "2189-3764",
    doi = "10.48550/arXiv.1907.04894",
    volume = "5"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20180604-111058055,
    title = "Reverse Hardy-Littlewood-Sobolev inequalities",
    journal = "Journal de Mathématiques Pures et Appliquées",
    year = "2019",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180604-111058055",
    id = "record",
    issn = "0021-7824",
    doi = "10.1016/j.matpur.2019.09.001",
    volume = "132"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20190520-133342030,
    title = "Singular solutions to a semilinear biharmonic equation with a general critical nonlinearity",
    journal = "Rendiconti Lincei - Matematica e Applicazioni",
    year = "2019",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190520-133342030",
    id = "record",
    issn = "1120-6330",
    doi = "10.4171/RLM/871",
    volume = "30"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20190520-133945892,
    title = "Schatten class conditions for functions of Schrödinger operators",
    journal = "Annales Henri Poincaré",
    year = "2019",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190520-133945892",
    id = "record",
    issn = "1424-0637",
    doi = "10.1007/s00023-019-00838-8",
    volume = "20"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20190429-123953827,
    title = "Periodic energy minimizers for a one-dimensional liquid drop model",
    journal = "Letters in Mathematical Physics",
    year = "2019",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190429-123953827",
    id = "record",
    issn = "0377-9017",
    doi = "10.1007/s11005-019-01171-1",
    volume = "109"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20190520-102006314,
    title = "Kato smoothness and functions of perturbed self-adjoint operators",
    journal = "Advances in Mathematics",
    year = "2019",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190520-102006314",
    id = "record",
    issn = "0001-8708",
    doi = "10.1016/j.aim.2019.05.002",
    volume = "351"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20190520-132849818,
    title = "Non-spherical equilibrium shapes in the liquid drop model",
    journal = "Journal of Mathematical Physics",
    year = "2019",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190520-132849818",
    id = "record",
    issn = "0022-2488",
    doi = "10.1063/1.5095603",
    volume = "60"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20190520-141054764,
    title = "Inequalities for L^p-norms that sharpen the triangle inequality and complement Hanner's Inequality",
    year = "2019",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190520-141054764",
    id = "record",
    doi = "10.48550/arXiv.1807.05599"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20180604-111721567,
    title = "Bound on the number of negative eigenvalues of two-dimensional Schrödinger operators on domains",
    journal = "St. Petersburg Mathematical Journal",
    year = "2019",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180604-111721567",
    id = "record",
    isbn = "978-3-03719-175-0",
    issn = "1061-0022",
    doi = "10.1090/spmj/1559",
    volume = "30"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20180604-112611120,
    title = "The BCS critical temperature in a weak homogeneous magnetic field",
    journal = "Journal of Spectral Theory",
    year = "2019",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180604-112611120",
    id = "record",
    issn = "1664-039X",
    doi = "10.4171/JST/270",
    volume = "9"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20180604-112112515,
    title = "Classification of positive singular solutions to a nonlinear biharmonic equation with critical exponent",
    journal = "Analysis \& PDE",
    year = "2019",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180604-112112515",
    id = "record",
    issn = "1948-206X",
    doi = "10.2140/apde.2019.12.1101",
    volume = "12"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20180604-091720191,
    title = "Extremizers for the Airy–Strichartz inequality",
    journal = "Mathematische Annalen",
    year = "2018",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180604-091720191",
    id = "record",
    issn = "0025-5831",
    doi = "10.1007/s00208-018-1695-7",
    volume = "372"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20181106-123858044,
    title = "Inequalities for quantum divergences and the Audenaert–Datta conjecture",
    journal = "Journal of Physics A: Mathematical and Theoretical",
    year = "2018",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20181106-123858044",
    id = "record",
    issn = "1751-8113",
    doi = "10.1088/1751-8121/aae8a3",
    volume = "51"
}


@inbook{https://resolver.caltech.edu/CaltechAUTHORS:20200109-070444248,
    title = "Macroscopic Limits of Quantum Systems",
    chapter = "The BCS Critical Temperature in a Weak External Electric Field via a Linear Two-Body Operator",
    year = "2018",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200109-070444248",
    id = "record",
    isbn = "978-3-030-01601-2",
    doi = "10.1007/978-3-030-01602-9\_2"
}


@inbook{https://resolver.caltech.edu/CaltechAUTHORS:20190513-100341402,
    title = "Mathematical Problems in Quantum Physics",
    chapter = "A short proof of the ionization conjecture in Müller theory",
    year = "2018",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190513-100341402",
    id = "record",
    isbn = "978-1-4704-3681-0",
    doi = "10.1090/conm/717/14437"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170428-155623144,
    title = "The Maximal Excess Charge in Müller Density-Matrix-Functional Theory",
    journal = "Annales Henri Poincaré",
    year = "2018",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170428-155623144",
    id = "record",
    issn = "1424-0637",
    doi = "10.1007/s00023-018-0695-1",
    volume = "19"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20180221-110808137,
    title = "Minimizers for the fractional Sobolev inequality on domains",
    journal = "Calculus of Variations and Partial Differential Equations",
    year = "2018",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180221-110808137",
    id = "record",
    issn = "0944-2669",
    doi = "10.1007/s00526-018-1304-3",
    volume = "57"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170501-083145482,
    title = "The ionization conjecture in Thomas-Fermi-Dirac-von Weizsäcker theory",
    journal = "Communications on Pure and Applied Mathematics",
    year = "2018",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170501-083145482",
    id = "record",
    issn = "0010-3640",
    doi = "10.1002/cpa.21717",
    volume = "71"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20180912-155642789,
    title = {A "Liquid-Solid" Phase Transition in a Simple Model for Swarming, Based on the "No Flat-Spots" Theorem for Subharmonic Functions},
    journal = "Indiana University Mathematics Journal",
    year = "2018",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180912-155642789",
    id = "record",
    issn = "0022-2518",
    doi = "10.1512/iumj.2018.67.7398",
    volume = "67"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170501-160524071,
    title = "Restriction theorems for orthonormal functions, Strichartz inequalities, and uniform Sobolev estimates",
    journal = "American Journal of Mathematics",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170501-160524071",
    id = "record",
    issn = "0002-9327",
    doi = "10.1353/ajm.2017.0041",
    volume = "139"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170502-082840587,
    title = "Eigenvalue bounds for Schrödinger operators with complex potentials. II",
    journal = "Journal of Spectral Theory",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170502-082840587",
    id = "record",
    issn = "1664-039X",
    doi = "10.4171/JST/173",
    volume = "7"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170428-155217715,
    title = "Spectral cluster bounds for orthonormal systems and oscillatory integral operators in Schatten spaces",
    journal = "Advances in Mathematics",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170428-155217715",
    id = "record",
    issn = "0001-8708",
    doi = "10.1016/j.aim.2017.06.023",
    volume = "317"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170502-081943954,
    title = "Eigenvalue bounds for Schrödinger operators with complex potentials. III",
    journal = "Transactions of the American Mathematical Society",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170502-081943954",
    id = "record",
    issn = "0002-9947",
    doi = "10.1090/tran/6936",
    volume = "370"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170720-090957243,
    title = "Norms of quantum Gaussian multi-mode channels",
    journal = "Journal of Mathematical Physics",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170720-090957243",
    id = "record",
    issn = "0022-2488",
    doi = "10.1063/1.4989809",
    volume = "58"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20170526-093631237,
    title = "Uniqueness of ground states for the L^2-critical boson star equation",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170526-093631237",
    id = "record",
    doi = "10.48550/arXiv.0905.3105"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20170526-092635990,
    title = "Remarks on eigenvalue estimates and semigroup domination",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170526-092635990",
    id = "record",
    doi = "10.48550/arXiv.0903.0561"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20170526-101905288,
    title = "On ground states for the L^2-critical boson star equation",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170526-101905288",
    id = "record",
    doi = "10.48550/arXiv.0910.2721"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20170510-073002205,
    title = "Pόlya's conjecture in the presence of a constant magnetic field",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170510-073002205",
    id = "record",
    doi = "10.48550/arXiv.0710.1078"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20170510-091442211,
    title = "Müeller's Exchange-Correlation Energy in Density-Matrix-Functional Theory",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170510-091442211",
    id = "record",
    doi = "10.48550/arXiv.0705.1587"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20170510-090747676,
    title = "Eigenvalue estimates for the Aharonov-Bohm operator in a domain",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170510-090747676",
    id = "record",
    doi = "10.48550/arXiv.0710.1089"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20170512-100456574,
    title = "The Energy of Heavy Atoms According to Brown and Ravenhall: The Scott Correction",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170512-100456574",
    id = "record",
    doi = "10.48550/arXiv.0805.4441"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20170512-090412324,
    title = "Remarks about Hardy inequalities on metric trees",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170512-090412324",
    id = "record"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20170511-064913855,
    title = "The sharp constant in the Hardy-Sobolev-Maz'ya inequality in the three dimensional upper half-space",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170511-064913855",
    id = "record",
    doi = "10.48550/arXiv.0705.3833"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20170512-095723566,
    title = "Spectral inequalities for Schrödinger operators with surface potentials",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170512-095723566",
    id = "record",
    doi = "10.48550/arXiv.0711.3473"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20170505-112911639,
    title = "Microscopic Derivation of the Ginzburg-Landau Model",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170505-112911639",
    id = "record",
    doi = "10.48550/arXiv.1209.1080"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20170505-111204119,
    title = "Ground state properties of multi-polaron systems",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170505-111204119",
    id = "record",
    doi = "10.48550/arXiv.1209.3717"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20170502-150250004,
    title = "Remainder terms in the fractional Sobolev inequality",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170502-150250004",
    id = "record",
    doi = "10.48550/arXiv.1205.5666"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20170501-100604320,
    title = "Sharp trace asymptotics for a class of 2D-magnetic operators",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170501-100604320",
    id = "record",
    doi = "10.48550/arXiv.1108.0777"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20170501-091837793,
    title = "Binding of Polarons and Atoms at Threshold",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170501-091837793",
    id = "record",
    doi = "10.48550/arXiv.1106.0729"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20170501-072727175,
    title = "Uniqueness and Nondegeneracy of Ground States for (−Δ)^sQ+Q−Q^(α+1)=0 in R",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170501-072727175",
    id = "record",
    doi = "10.48550/arXiv.1009.4042"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20170501-082647988,
    title = "Possible Lattice Distortions in the Hubbard Model for Graphene",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170501-082647988",
    id = "record",
    doi = "10.48550/arXiv.1105.0693"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20170501-094456500,
    title = "Fractional Hardy-Sobolev-Maz'ya inequality for domains",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170501-094456500",
    id = "record",
    doi = "10.48550/arXiv.1109.6570"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170427-140719939,
    title = "Endpoint resolvent estimates for compact Riemannian manifolds",
    journal = "Journal of Functional Analysis",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170427-140719939",
    id = "record",
    issn = "0022-1236",
    doi = "10.1016/j.jfa.2016.11.012",
    volume = "272"
}


@inbook{https://resolver.caltech.edu/CaltechAUTHORS:20170501-155923176,
    title = "Functional Analysis and Operator Theory for Quantum Physics: The Pavel Exner Anniversary Volume",
    chapter = "Eigenvalues of Schrödinger operators with complex surface potentials",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170501-155923176",
    id = "record",
    isbn = "978-3-03719-175-0",
    doi = "10.4171/175"
}


@other{https://resolver.caltech.edu/CaltechAUTHORS:20170428-161302774,
    title = "A 'liquid-solid' phase transition in a simple model for swarming, based on the 'no flat-spots' theorem for subharmonic functions",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170428-161302774",
    id = "record",
    doi = "10.48550/arXiv.1607.07971"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170428-160716872,
    title = "Condensation of fermion pairs in a domain",
    journal = "Calculus of Variations and Partial Differential Equations",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170428-160716872",
    id = "record",
    issn = "0944-2669",
    doi = "10.1007/s00526-017-1140-x",
    volume = "56"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170417-074808881,
    title = "Spectral Theory for Schrödinger Operators with δ-Interactions Supported on Curves in R³",
    journal = "Annales Henri Poincaré",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170417-074808881",
    id = "record",
    issn = "1424-0637",
    doi = "10.1007/s00023-016-0532-3",
    volume = "18"
}


@inbook{https://resolver.caltech.edu/CaltechAUTHORS:20170501-092157290,
    title = "Recent Developments in Nonlocal Theory",
    chapter = "Eigenvalue bounds for the fractional Laplacian: A review",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170501-092157290",
    id = "record",
    isbn = "9783110571561",
    doi = "10.1515/9783110571561-007"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170427-075023929,
    title = "Derivation of an effective evolution equation for a strongly coupled polaron",
    journal = "Analysis \& PDE",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170427-075023929",
    id = "record",
    issn = "2157-5045",
    doi = "10.2140/apde.2017.10.379",
    volume = "10"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170428-154120889,
    title = "Averaging of nonlinear Schrödinger equations with strong magnetic confinement",
    journal = "Communications in Mathematical Sciences",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170428-154120889",
    id = "record",
    issn = "1539-6746",
    doi = "10.4310/CMS.2017.v15.n7.a7",
    volume = "15"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20161128-153447509,
    title = "On the number of eigenvalues of Schrödinger operators with complex potentials",
    journal = "Journal of the London Mathematical Society",
    year = "2016",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161128-153447509",
    id = "record",
    issn = "0024-6107",
    doi = "10.1112/jlms/jdw039",
    volume = "94"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160930-133917913,
    title = "Multi-Component Ginzburg-Landau Theory: Microscopic Derivation and Examples",
    journal = "Annales Henri Poincaré",
    year = "2016",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160930-133917913",
    id = "record",
    issn = "1424-0637",
    doi = "10.1007/s00023-016-0473-x",
    volume = "17"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160811-074144777,
    title = "Uniqueness of Radial Solutions for the Fractional Laplacian",
    journal = "Communications on Pure and Applied Mathematics",
    year = "2016",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160811-074144777",
    id = "record",
    issn = "0010-3640",
    doi = "10.1002/cpa.21591",
    volume = "69"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160805-093315174,
    title = "Nonexistence of Large Nuclei in the Liquid Drop Model",
    journal = "Letters in Mathematical Physics",
    year = "2016",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160805-093315174",
    id = "record",
    issn = "0377-9017",
    doi = "10.1007/s11005-016-0860-8",
    volume = "106"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160722-140945826,
    title = "Incompatibility of Time-Dependent Bogoliubov–de-Gennes and Ginzburg–Landau Equations",
    journal = "Letters in Mathematical Physics",
    year = "2016",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160722-140945826",
    id = "record",
    issn = "0377-9017",
    doi = "10.1007/s11005-016-0847-5",
    volume = "106"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20161129-084514277,
    title = "Maximizers for the Stein–Tomas Inequality",
    journal = "Geometric and Functional Analysis",
    year = "2016",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161129-084514277",
    id = "record",
    issn = "1016-443X",
    doi = "10.1007/s00039-016-0380-9",
    volume = "26"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160317-104639269,
    title = "Refined semiclassical asymptotics for fractional powers of the Laplace operator",
    journal = "Journal für die reine und angewandte Mathematik",
    year = "2016",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160317-104639269",
    id = "record",
    issn = "0075-4102",
    doi = "10.1515/crelle-2013-0120",
    volume = "2016"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160225-075610491,
    title = "Some operator and trace function convexity theorems",
    journal = "Linear Algebra and its Applications",
    year = "2016",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160225-075610491",
    id = "record",
    issn = "0024-3795",
    doi = "10.1016/j.laa.2015.11.006",
    volume = "490"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160303-112827308,
    title = "The External Field Dependence of the BCS Critical Temperature",
    journal = "Communications in Mathematical Physics",
    year = "2016",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160303-112827308",
    id = "record",
    issn = "0010-3616",
    doi = "10.1007/s00220-015-2526-2",
    volume = "342"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170428-154841451,
    title = "The Stein-Tomas inequality in trace ideals",
    journal = "Séminaire Laurent Schwartz - EDP et applications",
    year = "2016",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170428-154841451",
    id = "record",
    doi = "10.5802/slsedp.92",
    volume = "15"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160115-123530660,
    title = "A Compactness Lemma and Its Application to the Existence of Minimizers for the Liquid Drop Model",
    journal = "SIAM Journal on Mathematical Analysis",
    year = "2015",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160115-123530660",
    id = "record",
    issn = "0036-1410",
    doi = "10.1137/15M1010658",
    volume = "47"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20150706-132935949,
    title = "The Ground State Energy of a Polaron in a Strong Magnetic Field",
    journal = "Communications in Mathematical Physics",
    year = "2015",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20150706-132935949",
    id = "record",
    issn = "0010-3616",
    doi = "10.1007/s00220-015-2367-z",
    volume = "338"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20150604-085020731,
    title = "Weak perturbations of the p-Laplacian",
    journal = "Calculus of Variations and Partial Differential Equations",
    year = "2015",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20150604-085020731",
    id = "record",
    issn = "0944-2669",
    doi = "10.1007/s00526-014-0767-0",
    volume = "53"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20150612-085811844,
    title = "The spectral density of a product of spectral projections",
    journal = "Journal of Functional Analysis",
    year = "2015",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20150612-085811844",
    id = "record",
    issn = "0022-1236",
    doi = "10.1016/j.jfa.2015.03.018",
    volume = "268"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20150330-070612488,
    title = "Trace Class Conditions for Functions of Schrödinger Operators",
    journal = "Communications in Mathematical Physics",
    year = "2015",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20150330-070612488",
    id = "record",
    issn = "0010-3616",
    doi = "10.1007/s00220-014-2205-8",
    volume = "335"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20150409-135549549,
    title = "Ground state energy of large polaron systems",
    journal = "Journal of Mathematical Physics",
    year = "2015",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20150409-135549549",
    id = "record",
    issn = "0022-2488",
    doi = "10.1063/1.4908125",
    volume = "56"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20150226-131020302,
    title = "An extension problem for the CR fractional Laplacian",
    journal = "Advances in Mathematics",
    year = "2015",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20150226-131020302",
    id = "record",
    issn = "0001-8708",
    doi = "10.1016/j.aim.2014.09.026",
    volume = "270"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20141211-085533969,
    title = "Maximizers for Gagliardo–Nirenberg inequalities and related non-local problems",
    journal = "Mathematische Annalen",
    year = "2014",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20141211-085533969",
    id = "record",
    issn = "0025-5831",
    doi = "10.1007/s00208-014-1046-2",
    volume = "360"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20140708-142118299,
    title = "Dynamics of a Strongly Coupled Polaron",
    journal = "Letters in Mathematical Physics",
    year = "2014",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20140708-142118299",
    id = "record",
    issn = "0377-9017",
    doi = "10.1007/s11005-014-0700-7",
    volume = "104"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20141023-082135692,
    title = "Strichartz inequality for orthonormal functions",
    journal = "Journal of the European Mathematical Society",
    year = "2014",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20141023-082135692",
    id = "record",
    issn = "1435-9855",
    doi = "10.4171/JEMS/467",
    volume = "16"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170501-080259012,
    title = "Intrinsic metrics for non-local symmetric Dirichlet forms and applications to spectral theory",
    journal = "Journal of Functional Analysis",
    year = "2014",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170501-080259012",
    id = "record",
    issn = "0022-1236",
    doi = "10.1016/j.jfa.2014.02.008",
    volume = "266"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20140422-141713585,
    title = "Stability Estimates for the Lowest Eigenvalue of a Schrödinger Operator",
    journal = "Geometric and Functional Analysis",
    year = "2014",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20140422-141713585",
    id = "record",
    issn = "1016-443X",
    doi = "10.1007/s00039-014-0253-z",
    volume = "24"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170504-103757590,
    title = "Existence of ground states for negative ions at the binding threshold",
    journal = "Reviews in Mathematical Physics",
    year = "2014",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170504-103757590",
    id = "record",
    issn = "0129-055X",
    doi = "10.1142/S0129055X13500219",
    volume = "26"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20140530-072438434,
    title = "Cwikel's theorem and the CLR inequality",
    journal = "Journal of Spectral Theory",
    year = "2014",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20140530-072438434",
    id = "record",
    issn = "1664-039X",
    doi = "10.4171/JST/59",
    volume = "4"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20140130-111730599,
    title = "Monotonicity of a relative Rényi entropy",
    journal = "Journal of Mathematical Physics",
    year = "2013",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20140130-111730599",
    id = "record",
    issn = "0022-2488",
    doi = "10.1063/1.4838835",
    volume = "54"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170501-112412599,
    title = "Extended Quantum Conditional Entropy and Quantum Uncertainty Inequalities",
    journal = "Communications in Mathematical Physics",
    year = "2013",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170501-112412599",
    id = "record",
    issn = "0010-3616",
    doi = "10.1007/s00220-013-1775-1",
    volume = "323"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20130807-152723442,
    title = "Uniqueness of non-linear ground states for fractional Laplacians in R",
    journal = "Acta Mathematica",
    year = "2013",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20130807-152723442",
    id = "record",
    issn = "0001-5962",
    doi = "10.1007/s11511-013-0095-9",
    volume = "210"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20130815-102433930,
    title = "Heat kernels of metric trees and applications",
    journal = "SIAM Journal on Mathematical Analysis",
    year = "2013",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20130815-102433930",
    id = "record",
    issn = "0036-1410",
    doi = "10.1137/120886297",
    volume = "45"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170502-144700862,
    title = "Symmetry of Bipolaron Bound States for Small Coulomb Repulsion",
    journal = "Communications in Mathematical Physics",
    year = "2013",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170502-144700862",
    id = "record",
    issn = "0010-3616",
    doi = "10.1007/s00220-012-1604-y",
    volume = "319"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20130319-101032718,
    title = "A positive density analogue of the Lieb–Thirring inequality",
    journal = "Duke Mathematical Journal",
    year = "2013",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20130319-101032718",
    id = "record",
    issn = "0012-7094",
    doi = "10.1215/00127094-2019477",
    volume = "162"
}


@inbook{https://resolver.caltech.edu/CaltechAUTHORS:20170501-083839909,
    title = "Operator Methods in Mathematical Physics",
    chapter = "Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction",
    year = "2013",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170501-083839909",
    id = "record",
    isbn = "978-3-0348-0531-5",
    doi = "10.1007/978-3-0348-0531-5\_3"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170505-092151992,
    title = "Semi-classical analysis of the Laplace operator with Robin boundary conditions",
    journal = "Bulletin of Mathematical Sciences",
    year = "2012",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170505-092151992",
    id = "record",
    issn = "1664-3615",
    doi = "10.1007/s13373-012-0028-5",
    volume = "2"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170501-103316603,
    title = "Entropy and the Uncertainty Principle",
    journal = "Annales Henri Poincaré",
    year = "2012",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170501-103316603",
    id = "record",
    issn = "1424-0637",
    doi = "10.1007/s00023-012-0175-y",
    volume = "13"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170501-113527750,
    title = "Lieb-Thirring inequality for a model of particles with point interactions",
    journal = "Journal of Mathematical Physics",
    year = "2012",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170501-113527750",
    id = "record",
    issn = "0022-2488",
    doi = "10.1063/1.3697416",
    volume = "53"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170501-090207067,
    title = "Microscopic Derivation of Ginzburg-Landau Theory",
    journal = "Journal of the American Mathematical Society",
    year = "2012",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170501-090207067",
    id = "record",
    issn = "0894-0347",
    doi = "10.1090/S0894-0347-2012-00735-8",
    volume = "25"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170501-085309159,
    title = "Hardy-Sobolev-Maz'ya inequalities for arbitrary domains",
    journal = "Journal de Mathématiques Pures et Appliquées",
    year = "2012",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170501-085309159",
    id = "record",
    issn = "0021-7824",
    doi = "10.1016/j.matpur.2011.04.004",
    volume = "97"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170501-064349426,
    title = "Sharp constants in several inequalities on the Heisenberg group",
    journal = "Annals of Mathematics",
    year = "2012",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170501-064349426",
    id = "record",
    issn = "0003-486X",
    doi = "10.4007/annals.2012.176.1.6",
    volume = "176"
}


@inbook{https://resolver.caltech.edu/CaltechAUTHORS:20170501-075729792,
    title = "Spectral Theory, Function Spaces and Inequalities",
    chapter = "A new, rearrangement-free proof of the sharp Hardy-Littlewood-Sobolev inequality",
    year = "2012",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170501-075729792",
    id = "record",
    isbn = "978-3-0348-0263-5",
    doi = "10.1007/978-3-0348-0263-5\_4"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170501-072120225,
    title = "Eigenvalue bounds for Schrödinger operators with a homogeneous magnetic field",
    journal = "Letters in Mathematical Physics",
    year = "2011",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170501-072120225",
    id = "record",
    issn = "0377-9017",
    doi = "10.1007/s11005-011-0499-4",
    volume = "97"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170501-065723391,
    title = "Eigenvalue bounds for Schrödinger operators with complex potentials",
    journal = "Bulletin of the London Mathematical Society",
    year = "2011",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170501-065723391",
    id = "record",
    issn = "0024-6093",
    doi = "10.1112/blms/bdr008",
    volume = "43"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170501-071121790,
    title = "Stability and Absence of Binding for Multi-Polaron Systems",
    journal = "Publications mathématiques de l'IHÉS",
    year = "2011",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170501-071121790",
    id = "record",
    issn = "0073-8301",
    doi = "10.1007/s10240-011-0031-5",
    volume = "113"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170501-093433748,
    title = "Energy Cost to Make a Hole in the Fermi Sea",
    journal = "Physical Review Letters",
    year = "2011",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170501-093433748",
    id = "record",
    issn = "0031-9007",
    doi = "10.1103/PhysRevLett.106.150402",
    volume = "106"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20110502-112300651,
    title = "Critical Lieb-Thirring bounds in gaps and the generalized Nevai conjecture for finite gap Jacobi matrices",
    journal = "Duke Mathematical Journal",
    year = "2011",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20110502-112300651",
    id = "record",
    issn = "0012-7094",
    doi = "10.1215/00127094-1272912",
    volume = "157"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170512-094610802,
    title = "Eigenvalue estimates for Schrödinger operators on metric trees",
    journal = "Advances in Mathematics",
    year = "2011",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170512-094610802",
    id = "record",
    issn = "0001-8708",
    doi = "10.1016/j.aim.2011.01.001",
    volume = "226"
}


@inbook{https://resolver.caltech.edu/CaltechAUTHORS:20170526-100635987,
    title = "Spectral Theory and Analysis",
    chapter = "A sharp bound on eigenvalues of Schröedinger operators on the half-line with complex-valued potentials",
    year = "2011",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170526-100635987",
    id = "record",
    isbn = "9783764399948",
    doi = "10.1007/978-3-7643-9994-8\_3"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170526-094859466,
    title = "Weakly coupled bound states of Pauli operators",
    journal = "Calculus of Variations and Partial Differential Equations",
    year = "2011",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170526-094859466",
    id = "record",
    issn = "0944-2669",
    doi = "10.1007/s00526-010-0339-x",
    volume = "40"
}


@inbook{https://resolver.caltech.edu/CaltechAUTHORS:20170501-075001254,
    title = "Mathematical Results in Quantum Physics",
    chapter = "Binding, Stability, and Non-binding of Multi-polaron Systems",
    year = "2011",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170501-075001254",
    id = "record",
    isbn = "9789814350365",
    doi = "10.1142/9789814350365\_0002"
}


@inbook{https://resolver.caltech.edu/CaltechAUTHORS:20170501-070506766,
    title = "Concentration, Functional Inequalities and Isoperimetry",
    chapter = "Spherical reflection positivity and the Hardy-Littlewood-Sobolev inequality",
    year = "2011",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170501-070506766",
    id = "record",
    isbn = "978-0-8218-4971-2",
    doi = "10.48550/arXiv.1003.5248"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170501-111716146,
    title = "On the uniqueness of ground states of non-local equations",
    journal = "Journées équations aux dérivées partielles",
    year = "2011",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170501-111716146",
    id = "record",
    issn = "0752-0360",
    doi = "10.5802/jedp.77",
    volume = "2011"
}


@inbook{https://resolver.caltech.edu/CaltechAUTHORS:20170501-080935483,
    title = "Mathematical Results in Quantum Physics",
    chapter = "Two-term spectral asymptotics for the Dirichlet Laplacian on a bounded domain",
    year = "2011",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170501-080935483",
    id = "record",
    isbn = "9789814350365",
    doi = "10.1142/9789814350365\_0012"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170510-143424777,
    title = "Inversion positivity and the sharp Hardy–Littlewood–Sobolev inequality",
    journal = "Calculus of Variations and Partial Differential Equations",
    year = "2010",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170510-143424777",
    id = "record",
    issn = "0944-2669",
    doi = "10.1007/s00526-009-0302-x",
    volume = "39"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170501-064924933,
    title = "Bipolaron and N-Polaron Binding Energies",
    journal = "Physical Review Letters",
    year = "2010",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170501-064924933",
    id = "record",
    issn = "0031-9007",
    doi = "10.1103/PhysRevLett.104.210402",
    volume = "104"
}


@inbook{https://resolver.caltech.edu/CaltechAUTHORS:20170526-125941569,
    title = "XVIth International Congress on Mathematical Physics",
    chapter = "Equivalence of Sobolev inequalities and Lieb-Thirring inequalities",
    year = "2010",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170526-125941569",
    id = "record",
    isbn = "978-981-4304-62-7",
    doi = "10.1142/9789814304634\_0045"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170526-092032067,
    title = "Inequalities between Dirichlet and Neumann eigenvalues on the Heisenberg group",
    journal = "International Mathematics Research Notices",
    year = "2010",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170526-092032067",
    id = "record",
    issn = "1073-7928",
    doi = "10.1093/imrn/rnp230",
    volume = "2010"
}


@inbook{https://resolver.caltech.edu/CaltechAUTHORS:20170526-131557265,
    title = "Around the Research of Vladimir Maz'ya I",
    chapter = "Sharp Fractional Hardy Inequalities in Half-Spaces",
    year = "2010",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170526-131557265",
    id = "record",
    isbn = "978-1-4419-1340-1",
    doi = "10.1007/978-1-4419-1341-8\_6"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170512-093621400,
    title = "A Simple Proof of Hardy-Lieb-Thirring Inequalities",
    journal = "Communications in Mathematical Physics",
    year = "2009",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170512-093621400",
    id = "record",
    issn = "0010-3616",
    doi = "10.1007/s00220-009-0759-7",
    volume = "290"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20091012-105116089,
    title = "Singular spectrum for radial trees",
    journal = "Reviews in Mathematical Physics",
    year = "2009",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20091012-105116089",
    id = "record",
    issn = "0129-055X",
    doi = "10.1142/S0129055X09003773",
    volume = "21"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170526-100006703,
    title = "A note on low energy scattering for homogeneous long range potentials",
    journal = "Annales Henri Poincaré",
    year = "2009",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170526-100006703",
    id = "record",
    issn = "1424-0637",
    doi = "10.1007/s00023-009-0410-3",
    volume = "10"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170510-155935658,
    title = "Non-linear ground state representations and sharp Hardy inequalities",
    journal = "Journal of Functional Analysis",
    year = "2008",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170510-155935658",
    id = "record",
    issn = "0022-1236",
    doi = "10.1016/j.jfa.2008.05.015",
    volume = "255"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170408-144423477,
    title = "Eigenvalue Bounds for Perturbations of Schrödinger Operators and Jacobi Matrices With Regular Ground States",
    journal = "Communications in Mathematical Physics",
    year = "2008",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170408-144423477",
    id = "record",
    issn = "0010-3616",
    doi = "10.1007/s00220-008-0453-1",
    volume = "282"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170510-160420593,
    title = "The Ground State Energy of Heavy Atoms: Relativistic Lowering of the Leading Energy Correction",
    journal = "Communications in Mathematical Physics",
    year = "2008",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170510-160420593",
    id = "record",
    issn = "0010-3616",
    doi = "10.1007/s00220-007-0397-x",
    volume = "278"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170531-151816388,
    title = "Lieb–Thirring inequalities on the half-line with critical exponent",
    journal = "European Mathematical Society",
    year = "2008",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170531-151816388",
    id = "record",
    issn = "1435-9855",
    doi = "10.4171/JEMS/128",
    volume = "10"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170511-070749185,
    title = "Eigenvalue estimates for magnetic Schrödinger operators in domains",
    journal = "Proceedings of the American Mathematical Society",
    year = "2007",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170511-070749185",
    id = "record",
    issn = "0002-9939",
    doi = "10.1090/S0002-9939-08-09523-3",
    volume = "136"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170510-105303048,
    title = "The critical temperature for the BCS equation at weak coupling",
    journal = "Journal of Geometric Analysis",
    year = "2007",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170510-105303048",
    id = "record",
    issn = "1050-6926",
    doi = "10.1007/BF02937429",
    volume = "17"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170510-095237526,
    title = "Number of Bound States of Schröedinger Operators with Matrix-Valued Potentials",
    journal = "Letters in Mathematical Physics",
    year = "2007",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170510-095237526",
    id = "record",
    issn = "0377-9017",
    doi = "10.1007/s11005-007-0211-x",
    volume = "82"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170526-134159102,
    title = "Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators",
    journal = "Journal of the American Mathematical Society",
    year = "2007",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170526-134159102",
    id = "record",
    issn = "0894-0347",
    doi = "10.1090/S0894-0347-07-00582-6",
    volume = "21"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170601-073744902,
    title = "Stability of Relativistic Matter with Magnetic Fields for Nuclear Charges up to the Critical Value",
    journal = "Communications in Mathematical Physics",
    year = "2007",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170601-073744902",
    id = "record",
    issn = "0010-3616",
    doi = "10.1007/s00220-007-0307-2",
    volume = "275"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170601-081138045,
    title = "On the asymptotic number of edge states for magnetic Schrödinger operators",
    journal = "Proceedings of the London Mathematical Society",
    year = "2007",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170601-081138045",
    id = "record",
    issn = "0024-6115",
    doi = "10.1112/plms/pdl024",
    volume = "95"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170601-083108196,
    title = "Absolute Continuity of the Spectrum for Periodically Modulated Leaky Wires in R^3",
    journal = "Annales Henri Poincaré",
    year = "2007",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170601-083108196",
    id = "record",
    issn = "1424-0637",
    doi = "10.1007/s00023-006-0307-3",
    volume = "8"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170601-075251570,
    title = "Lieb–Thirring Inequalities for Schrödinger Operators with Complex-valued Potentials",
    journal = "Letters in Mathematical Physics",
    year = "2006",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170601-075251570",
    id = "record",
    issn = "0377-9017",
    doi = "10.1007/s11005-006-0095-1",
    volume = "77"
}