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"https://authors.library.caltech.edu/records/3wz61-xxs88", id = "record", doi = "10.1145/3717823.3718256" } @article{https://authors.library.caltech.edu/records/8j74t-1r107, title = "Short proof of the hypergraph container theorem", journal = "Combinatorics, Probability and Computing", year = "2025", url = "https://authors.library.caltech.edu/records/8j74t-1r107", id = "record", issn = "0963-5483", doi = "10.1017/s0963548325000112", volume = "34" } @article{https://authors.library.caltech.edu/records/eebg4-rbt63, title = "Set-Coloring Ramsey Numbers and Error-Correcting Codes Near the Zero-Rate Threshold", journal = "IEEE Transactions on Information Theory", year = "2024", url = "https://authors.library.caltech.edu/records/eebg4-rbt63", id = "record", issn = "0018-9448", doi = "10.1109/tit.2023.3327846", volume = "70" } @article{https://authors.library.caltech.edu/records/sc4y5-c1068, title = "On a conjecture of Talagrand on selector processes and a consequence on positive empirical 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"record", doi = "10.48550/arxiv.2410.14624" } @other{https://authors.library.caltech.edu/records/2vghy-wsp47, title = "Sunflowers in set systems with small VC-dimension", year = "2024", url = "https://authors.library.caltech.edu/records/2vghy-wsp47", id = "record", doi = "10.48550/arxiv.2408.04165" } @other{https://authors.library.caltech.edu/records/w3v6a-pqr34, title = "On the clique number of random Cayley graphs and related topics", year = "2024", url = "https://authors.library.caltech.edu/records/w3v6a-pqr34", id = "record", doi = "10.48550/arxiv.2412.21194" } @other{https://authors.library.caltech.edu/records/nh023-sdw60, title = "The largest subgraph without a forbidden induced subgraph", year = "2024", url = "https://authors.library.caltech.edu/records/nh023-sdw60", id = "record", doi = "10.48550/arxiv.2405.05902" } @other{https://authors.library.caltech.edu/records/aydgt-f5883, title = "Spread blow-up lemma with an application to perturbed random graphs", year = "2024", url = 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"https://authors.library.caltech.edu/records/nkkgf-d2b28", id = "record", doi = "10.1109/focs57990.2023.00101" } @article{https://authors.library.caltech.edu/records/vkhej-47e23, title = "A rigorous framework for the mean field limit of multilayer neural networks", journal = "Mathematical Statistics and Learning", year = "2023", url = "https://authors.library.caltech.edu/records/vkhej-47e23", id = "record", issn = "2520-2316", doi = "10.4171/msl/42", volume = "6" } @article{https://authors.library.caltech.edu/records/2d31p-cjn16, title = "A proof of the Kahn–Kalai conjecture", journal = "Journal of the American Mathematical Society", year = "2023", url = "https://authors.library.caltech.edu/records/2d31p-cjn16", id = "record", issn = "0894-0347", doi = "10.1090/jams/1028", volume = "37" } @article{https://authors.library.caltech.edu/records/xfvsq-pqf42, title = "Dimension reduction for maximum matchings and the Fastest Mixing Markov Chain", journal = "Comptes Rendus. Mathématique", year = "2023", url = "https://authors.library.caltech.edu/records/xfvsq-pqf42", id = "record", issn = "1631-073X", doi = "10.5802/crmath.447", volume = "361" } @other{https://authors.library.caltech.edu/records/ybh4f-j2f14, title = "Homogeneous structures in subset sums and non-averaging sets", year = "2023", url = "https://authors.library.caltech.edu/records/ybh4f-j2f14", id = "record", doi = "10.48550/arxiv.2311.01416" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20221017-10817000.4, title = "The upper logarithmic density of monochromatic subset sums", journal = "Mathematika", year = "2022", url = "https://resolver.caltech.edu/CaltechAUTHORS:20221017-10817000.4", id = "record", issn = "0025-5793", doi = "10.1112/mtk.12167", volume = "68" } @other{https://authors.library.caltech.edu/records/jvfeg-gne85, title = "A Proof of the Kahn-Kalai Conjecture", journal = "2022 IEEE 63rd Annual Symposium on Foundations of Computer Science (FOCS)", year = "2022", url = "https://authors.library.caltech.edu/records/jvfeg-gne85", id = "record", doi = "10.1109/focs54457.2022.00066" } @article{https://authors.library.caltech.edu/records/b80br-qcv76, title = "Tower-type bounds for Roth's theorem with popular differences", journal = "Journal of the European Mathematical Society", year = "2022", url = "https://authors.library.caltech.edu/records/b80br-qcv76", id = "record", issn = "1435-9855", doi = "10.4171/jems/1271", volume = "25" } @article{https://authors.library.caltech.edu/records/wf08c-mwx40, title = "Universality for Low-Degree Factors of Random Polynomials over Finite Fields", journal = "International Mathematics Research Notices", year = "2022", url = "https://authors.library.caltech.edu/records/wf08c-mwx40", id = "record", issn = "1073-7928", doi = "10.1093/imrn/rnac239", volume = "2023" } @article{https://authors.library.caltech.edu/records/2wcx5-6zd15, title = "Spectral independence, coupling, and the spectral gap of the Glauber dynamics", journal = "Information Processing Letters", year = "2022", url = "https://authors.library.caltech.edu/records/2wcx5-6zd15", id = "record", issn = "0020-0190", doi = "10.1016/j.ipl.2022.106268", volume = "177" } @other{https://authors.library.caltech.edu/records/kt7jj-7nn90, title = "Entropic independence: optimal mixing of down-up random walks", journal = "Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing", year = "2022", url = "https://authors.library.caltech.edu/records/kt7jj-7nn90", id = "record", doi = "10.1145/3519935.3520048" } @other{https://authors.library.caltech.edu/records/g1cd6-4aq79, title = "Towards the sampling Lovász Local Lemma", journal = "2021 IEEE 62nd Annual Symposium on Foundations of Computer Science (FOCS)", year = "2022", url = "https://authors.library.caltech.edu/records/g1cd6-4aq79", id = "record", doi = "10.1109/focs52979.2021.00025" } @article{https://authors.library.caltech.edu/records/rqnfa-1pg82, title = "Mixing time of fractional random walk on finite fields", journal = "Electronic Journal of Probability", year = "2022", url = "https://authors.library.caltech.edu/records/rqnfa-1pg82", id = "record", issn = "1083-6489", doi = "10.1214/22-ejp858", volume = "27" } @article{https://authors.library.caltech.edu/records/jfxe1-xbm62, title = "Common and Sidorenko Linear Equations", journal = "The Quarterly Journal of Mathematics", year = "2021", url = "https://authors.library.caltech.edu/records/jfxe1-xbm62", id = "record", issn = "0033-5606", doi = "10.1093/qmath/haaa068", volume = "72" } @other{https://authors.library.caltech.edu/records/rznf7-sqp73, title = "Entropic Independence I: Modified Log-Sobolev Inequalities for Fractionally Log-Concave Distributions and High-Temperature Ising Models", year = "2021", url = "https://authors.library.caltech.edu/records/rznf7-sqp73", id = "record", doi = "10.48550/arxiv.2106.04105" } @other{https://authors.library.caltech.edu/records/aensr-td180, title = "Entropic Independence II: Optimal Sampling and Concentration via Restricted Modified Log-Sobolev Inequalities", year = "2021", url = "https://authors.library.caltech.edu/records/aensr-td180", id = "record", doi = "10.48550/arxiv.2111.03247" }