@article{https://authors.library.caltech.edu/records/bxqj9-jy145, title = "Double-exponential susceptibility growth in Dyson's hierarchical model with |x − y|⁻² interaction", journal = "Journal of Mathematical Physics", year = "2024", url = "https://authors.library.caltech.edu/records/bxqj9-jy145", id = "record", issn = "0022-2488", doi = "10.1063/5.0147340", volume = "65" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20230420-614686900.16, title = "Logarithmic Corrections to Scaling in the Four-dimensional Uniform Spanning Tree", journal = "Communications in Mathematical Physics", year = "2023", url = "https://resolver.caltech.edu/CaltechAUTHORS:20230420-614686900.16", id = "record", issn = "0010-3616", doi = "10.1007/s00220-023-04686-w" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20230411-695015900.4, title = "High-dimensional near-critical percolation and the torus plateau", journal = "Annals of Probability", year = "2023", url = "https://resolver.caltech.edu/CaltechAUTHORS:20230411-695015900.4", id = "record", issn = "0091-1798", doi = "10.1214/22-aop1608", volume = "51" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20230103-818063100.57, title = "The bunkbed conjecture holds in the p ↑ 1 limit", journal = "Combinatorics, Probability and Computing", year = "2023", url = "https://resolver.caltech.edu/CaltechAUTHORS:20230103-818063100.57", id = "record", issn = "0963-5483", doi = "10.1017/s096354832200027x" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20230725-745306000.2, title = "Transience and anchored isoperimetric dimension of supercritical percolation clusters", journal = "Electronic Journal of Probability", year = "2023", url = "https://resolver.caltech.edu/CaltechAUTHORS:20230725-745306000.2", id = "record", issn = "1083-6489", doi = "10.1214/23-ejp905", volume = "28" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20221129-370786800.2, title = "Sharp hierarchical upper bounds on the critical two-point function for long-range percolation on ℤᵈ", journal = "Journal of Mathematical Physics", year = "2022", url = "https://resolver.caltech.edu/CaltechAUTHORS:20221129-370786800.2", id = "record", issn = "0022-2488", doi = "10.1063/5.0088450", volume = "63" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20220907-386218000, title = "Slightly supercritical percolation on non-amenable graphs I: The distribution of finite clusters", journal = "Proceedings of the London Mathematical Society", year = "2022", url = "https://resolver.caltech.edu/CaltechAUTHORS:20220907-386218000", id = "record", issn = "0024-6115", doi = "10.1112/plms.12474", volume = "125" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20220823-628154700.756, title = "On the Derivation of Mean-Field Percolation Critical Exponents from the Triangle Condition", journal = "Journal of Statistical Physics", year = "2022", url = "https://resolver.caltech.edu/CaltechAUTHORS:20220823-628154700.756", id = "record", issn = "0022-4715", doi = "10.1007/s10955-022-02967-7", volume = "189" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210924-203748960, title = "What are the limits of universality?", journal = "Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences", year = "2022", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210924-203748960", id = "record", issn = "1364-5021", doi = "10.1098/rspa.2021.0857", volume = "478" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210924-202129801, title = "Collisions of random walks in dynamic random environments", journal = "Electronic Journal of Probability", year = "2022", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210924-202129801", id = "record", issn = "1083-6489", doi = "10.1214/21-EJP738", volume = "27" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210924-202109319, title = "No Percolation at Criticality on Certain Groups of Intermediate Growth", journal = "International Mathematics Research Notices", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210924-202109319", id = "record", issn = "1073-7928", doi = "10.1093/imrn/rnz265", volume = "2021" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210922-193306644, title = "Supercritical percolation on nonamenable graphs: isoperimetry, analyticity, and exponential decay of the cluster size distribution", journal = "Inventiones Mathematicae", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193306644", id = "record", issn = "0020-9910", doi = "10.1007/s00222-020-01011-3", volume = "224" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210922-193307537, title = "Large, lengthy graphs look locally like lines", journal = "Bulletin of the Lindon Mathematical Society", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193307537", id = "record", issn = "1469-2120", doi = "10.1112/blms.12436", volume = "53" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210922-193307624, title = "Geometric and spectral properties of causal maps", journal = "Journal of the European Mathematical Society", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193307624", id = "record", issn = "1435-9855", doi = "10.4171/jems/1001", volume = "22" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210924-201102398, title = "New critical exponent inequalities for percolation and the random cluster model", journal = "Probability and Mathematical Physics", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210924-201102398", id = "record", issn = "2690-1005", doi = "10.2140/pmp.2020.1.147", volume = "1" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210922-193307690, title = "The L² boundedness condition in nonamenable percolation", journal = "Electronic Journal of Probability", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193307690", id = "record", issn = "1083-6489", doi = "10.1214/20-ejp525", volume = "25" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210922-193307881, title = "Non-intersection of transient branching random walks", journal = "Probability Theory and Related Fields", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193307881", id = "record", issn = "0178-8051", doi = "10.1007/s00440-020-00964-z", volume = "178" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210922-193307757, title = "Nonuniqueness and mean-field criticality for percolation on nonunimodular transitive graphs", journal = "Journal of the American Mathematical Society", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193307757", id = "record", issn = "0894-0347", doi = "10.1090/jams/953", volume = "33" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210922-193307816, title = "Anomalous diffusion of random walk on random planar maps", journal = "Probability Theory and Related Fields", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193307816", id = "record", issn = "0178-8051", doi = "10.1007/s00440-020-00986-7", volume = "178" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210922-193307950, title = "Kazhdan groups have cost 1", journal = "Inventiones Mathematicae", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193307950", id = "record", issn = "0020-9910", doi = "10.1007/s00222-020-00967-6", volume = "221" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210922-193308155, title = "Indistinguishability of collections of trees in the uniform spanning forest", journal = "Annales de l'Institut Henri Poincaré, Probabilités et Statistiques", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193308155", id = "record", issn = "0246-0203", doi = "10.1214/19-AIHP988", volume = "56" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210922-193308018, title = "Locality of the critical probability for transitive graphs of exponential growth", journal = "Annals of Probability", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193308018", id = "record", issn = "0091-1798", doi = "10.1214/19-AOP1395", volume = "48" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210923-213625943, title = "Universality of high-dimensional spanning forests and sandpiles", journal = "Probability Theory and Related Fields", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210923-213625943", id = "record", issn = "0178-8051", doi = "10.1007/s00440-019-00923-3", volume = "176" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210922-193308087, title = "Mallows permutations and finite dependence", journal = "Annals of Probability", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193308087", id = "record", issn = "0091-1798", doi = "10.1214/19-AOP1363", volume = "48" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210922-193309372, title = "The component graph of the uniform spanning forest: transitions in dimensions 9,10,11, ...", journal = "Probability Theory and Related Fields", year = "2019", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193309372", id = "record", issn = "0178-8051", doi = "10.1007/s00440-018-0884-3", volume = "175" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210922-193309305, title = "Uniform spanning forests of planar graphs", journal = "Forum Mathetmatics, Sigma", year = "2019", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193309305", id = "record", issn = "2050-5094", doi = "10.1017/fms.2019.14", volume = "7" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210922-193309236, title = "Self-avoiding walk on nonunimodular transitive graphs", journal = "Annals of Probability", year = "2019", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193309236", id = "record", issn = "0091-1798", doi = "10.1214/18-AOP1322", volume = "47" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210922-193309440, title = "Percolation on hyperbolic graphs", journal = "Geometric and Functional Analysis", year = "2019", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193309440", id = "record", issn = "1016-443X", doi = "10.1007/s00039-019-00498-0", volume = "29" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210922-193309508, title = "Statistical physics on a product of trees", journal = "Annales de l'Institut Henri Poincaré, Probabilités et Statistiques", year = "2019", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193309508", id = "record", issn = "0246-0203", doi = "10.1214/18-aihp906", volume = "55" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210922-193309575, title = "Harmonic Dirichlet functions on planar graphs", journal = "Discrete \& Computational Geometry", year = "2019", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193309575", id = "record", issn = "0179-5376", doi = "10.1007/s00454-019-00057-2", volume = "61" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210922-193309713, title = "Finitely dependent cycle coloring", journal = "Electronic Communications in Probability", year = "2018", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193309713", id = "record", issn = "1083-589X", doi = "10.1214/18-ECP118", volume = "23" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210923-184021815, title = "Coalescing random walk on unimodular graphs", journal = "Electronic Communications in Probability", year = "2018", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210923-184021815", id = "record", issn = "1083-589X", doi = "10.1214/18-ecp136", volume = "23" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210923-184021127, title = "Hyperbolic and Parabolic Unimodular Random Maps", journal = "Geometric and Functional Analysis", year = "2018", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210923-184021127", id = "record", issn = "1016-443X", doi = "10.1007/s00039-018-0446-y", volume = "28" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210924-190634891, title = "Interlacements and the wired uniform spanning forest", journal = "Annals of Probability", year = "2018", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210924-190634891", id = "record", issn = "0091-1798", doi = "10.1214/17-aop1203", volume = "46" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210924-184806499, title = "The Hammersley-Welsh bound for self-avoiding walk revisited", journal = "Electronic Communications in Probability", year = "2018", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210924-184806499", id = "record", issn = "1083-589X", doi = "10.1214/17-ECP94", volume = "23" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210924-183504452, title = "Boundaries of planar graphs: a unified approach", journal = "Electronic Journal of Probability", year = "2017", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210924-183504452", id = "record", issn = "1083-6489", doi = "10.1214/17-ejp116", volume = "22" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210923-225150172, title = "Indistinguishability of trees in uniform spanning forests", journal = "Probability Theory and Related Fields", year = "2017", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210923-225150172", id = "record", issn = "0178-8051", doi = "10.1007/s00440-016-0707-3", volume = "168" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210924-190634976, title = "Wired cycle-breaking dynamics for uniform spanning forests", journal = "Annals of Probability", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210924-190634976", id = "record", issn = "0091-1798", doi = "10.1214/15-AOP1063", volume = "44" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210923-184021534, title = "Unimodular hyperbolic triangulations: circle packing and random walk", journal = "Inventiones Mathematicae", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210923-184021534", id = "record", issn = "0020-9910", doi = "10.1007/s00222-016-0653-9", volume = "206" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210924-190635043, title = "Critical percolation on any quasi-transitive graph of exponential growth has no infinite clusters", journal = "Comptes Rendus Mathematique", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210924-190635043", id = "record", issn = "1631-073X", doi = "10.1016/j.crma.2016.07.013", volume = "354" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20210923-215831853, title = "Collisions of random walks in reversible random graphs", journal = "Electronic Communications in Probability", year = "2015", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210923-215831853", id = "record", issn = "1083-589X", doi = "10.1214/ecp.v20-4330", volume = "20" }