@article{https://authors.library.caltech.edu/records/y9141-cjk45, author = "Hutchcroft, Tom and Sousi, Perla", title = "Logarithmic Corrections to Scaling in the Four-dimensional Uniform Spanning Tree", year = "2023", url = "https://resolver.caltech.edu/CaltechAUTHORS:20230420-614686900.16", id = "https://authors.library.caltech.edu/records/y9141-cjk45", issn = "0010-3616", doi = "10.1007/s00220-023-04686-w" } @article{https://authors.library.caltech.edu/records/em9gs-e7c18, author = "Hutchcroft, Tom and Michta, Emmanuel and Slade, Gordon", title = "High-dimensional near-critical percolation and the torus plateau", year = "2023", url = "https://resolver.caltech.edu/CaltechAUTHORS:20230411-695015900.4", id = "https://authors.library.caltech.edu/records/em9gs-e7c18", issn = "0091-1798", doi = "10.1214/22-aop1608", volume = "51", number = "2", pages = "580-625" } @article{https://authors.library.caltech.edu/records/a7hr1-srd50, author = "Hutchcroft, Tom and Kent, Alexander and Nizić-Nikolac, Petar", title = "The bunkbed conjecture holds in the p ↑ 1 limit", year = "2023", url = "https://resolver.caltech.edu/CaltechAUTHORS:20230103-818063100.57", id = "https://authors.library.caltech.edu/records/a7hr1-srd50", issn = "0963-5483", doi = "10.1017/s096354832200027x", pages = "1-7" } @article{https://authors.library.caltech.edu/records/95j8r-pwq77, author = "Hutchcroft, Tom", title = "Transience and anchored isoperimetric dimension of supercritical percolation clusters", year = "2023", url = "https://resolver.caltech.edu/CaltechAUTHORS:20230725-745306000.2", id = "https://authors.library.caltech.edu/records/95j8r-pwq77", issn = "1083-6489", doi = "10.1214/23-ejp905", volume = "28", pages = "1-15" } @article{https://authors.library.caltech.edu/records/c1dgm-xs860, author = "Hutchcroft, Tom", title = "Sharp hierarchical upper bounds on the critical two-point function for long-range percolation on ℤᵈ", year = "2022", url = "https://resolver.caltech.edu/CaltechAUTHORS:20221129-370786800.2", id = "https://authors.library.caltech.edu/records/c1dgm-xs860", issn = "0022-2488", doi = "10.1063/5.0088450", volume = "63", number = "11", pages = "Art. No. 113301" } @article{https://authors.library.caltech.edu/records/zwvhy-s1238, author = "Hutchcroft, Tom", title = "On the Derivation of Mean-Field Percolation Critical Exponents from the Triangle Condition", year = "2022", url = "https://resolver.caltech.edu/CaltechAUTHORS:20220823-628154700.756", id = "https://authors.library.caltech.edu/records/zwvhy-s1238", issn = "0022-4715", doi = "10.1007/s10955-022-02967-7", volume = "189", number = "1", pages = "Art. No. 6" } @article{https://authors.library.caltech.edu/records/0pmve-wtk48, author = "Hutchcroft, Tom", title = "Slightly supercritical percolation on non-amenable graphs I: The distribution of finite clusters", year = "2022", url = "https://resolver.caltech.edu/CaltechAUTHORS:20220907-386218000", id = "https://authors.library.caltech.edu/records/0pmve-wtk48", issn = "0024-6115", doi = "10.1112/plms.12474", volume = "125", number = "4", pages = "968-1013" } @article{https://authors.library.caltech.edu/records/dv0h8-wnc25, author = "Halberstam, Noah and Hutchcroft, Tom", title = "What are the limits of universality?", year = "2022", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210924-203748960", id = "https://authors.library.caltech.edu/records/dv0h8-wnc25", issn = "1364-5021", doi = "10.1098/rspa.2021.0857", volume = "478", number = "2259", pages = "Art. No. 20210857" } @article{https://authors.library.caltech.edu/records/39xfc-ekz38, author = "Halberstam, Noah and Hutchcroft, Tom", title = "Collisions of random walks in dynamic random environments", year = "2022", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210924-202129801", id = "https://authors.library.caltech.edu/records/39xfc-ekz38", issn = "1083-6489", doi = "10.1214/21-EJP738", volume = "27", pages = "Art. No. 8" } @article{https://authors.library.caltech.edu/records/b2avf-5rb22, author = "Hermon, Jonathan and Hutchcroft, Tom", title = "No Percolation at Criticality on Certain Groups of Intermediate Growth", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210924-202109319", id = "https://authors.library.caltech.edu/records/b2avf-5rb22", issn = "1073-7928", doi = "10.1093/imrn/rnz265", volume = "2021", number = "22", pages = "17433-17455" } @other{https://authors.library.caltech.edu/records/h9k7j-fzm15, author = "Hutchcroft, Tom and Michta, Emmanuel and Slade, Gordon", title = "High-dimensional near-critical percolation and the torus plateau", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210924-202253573", id = "https://authors.library.caltech.edu/records/h9k7j-fzm15", doi = "10.48550/arXiv.2107.12971" } @other{https://authors.library.caltech.edu/records/vw7fw-2em04, author = "Hutchcroft, Tom and Sousi, Perla", title = "Logarithmic corrections to scaling in the four-dimensional uniform spanning tree", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210924-202133236", id = "https://authors.library.caltech.edu/records/vw7fw-2em04", doi = "10.48550/arXiv.2010.15830" } @other{https://authors.library.caltech.edu/records/k4eb1-c9n17, author = "Hutchcroft, Tom", title = "Non-intersection of transient branching random walks", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210924-202112742", id = "https://authors.library.caltech.edu/records/k4eb1-c9n17", doi = "10.48550/arXiv.1910.01018" } @other{https://authors.library.caltech.edu/records/r0bnm-b8563, author = "Hutchcroft, Tom and Tointon, Matthew", title = "Non-triviality of the phase transition for percolation on finite transitive graphs", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210924-202143857", id = "https://authors.library.caltech.edu/records/r0bnm-b8563", doi = "10.48550/arXiv.2104.05607" } @other{https://authors.library.caltech.edu/records/b7n9w-z9n48, author = "Angel, Omer and Hutchcroft, Tom and Járai, Antal A.", title = "On the tail of the branching random walk local time", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210924-202119558", id = "https://authors.library.caltech.edu/records/b7n9w-z9n48", doi = "10.48550/arXiv.2002.12188" } @other{https://authors.library.caltech.edu/records/rsb7g-z9w39, author = "Hutchcroft, Tom", title = "Power-law bounds for critical long-range percolation below the upper-critical dimension", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210924-202126385", id = "https://authors.library.caltech.edu/records/rsb7g-z9w39", doi = "10.48550/arXiv.2008.11197" } @other{https://authors.library.caltech.edu/records/8bzn7-k1747, author = "Hutchcroft, Tom", title = "Slightly supercritical percolation on nonamenable graphs I: The distribution of finite clusters", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210924-202116146", id = "https://authors.library.caltech.edu/records/8bzn7-k1747", doi = "10.48550/arXiv.2002.02916" } @other{https://authors.library.caltech.edu/records/qstde-m2w06, author = "Hutchcroft, Tom", title = "The critical two-point function for long-range percolation on the hierarchical lattice", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210924-202140311", id = "https://authors.library.caltech.edu/records/qstde-m2w06", doi = "10.48550/arXiv.2103.17013" } @other{https://authors.library.caltech.edu/records/9ak9w-nca68, author = "Hutchcroft, Tom", title = "On the derivation of mean-field percolation critical exponents from the triangle condition", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210924-202147400", id = "https://authors.library.caltech.edu/records/9ak9w-nca68", doi = "10.48550/arXiv.2106.06400v2" } @article{https://authors.library.caltech.edu/records/1j2jy-xp413, author = "Hermon, Jonathan and Hutchcroft, Tom", title = "Supercritical percolation on nonamenable graphs: isoperimetry, analyticity, and exponential decay of the cluster size distribution", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193306644", id = "https://authors.library.caltech.edu/records/1j2jy-xp413", issn = "0020-9910", doi = "10.1007/s00222-020-01011-3", volume = "224", number = "2", pages = "445-486" } @article{https://authors.library.caltech.edu/records/1nt9d-yhc77, author = "Benjamini, Itai and Hutchcroft, Tom", title = "Large, lengthy graphs look locally like lines", year = "2021", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193307537", id = "https://authors.library.caltech.edu/records/1nt9d-yhc77", issn = "1469-2120", doi = "10.1112/blms.12436", volume = "53", number = "2", pages = "482-492" } @article{https://authors.library.caltech.edu/records/ty32r-s8w85, author = "Curien, Nicolas and Hutchcroft, Tom and Nachmias, Asaf", title = "Geometric and spectral properties of causal maps", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193307624", id = "https://authors.library.caltech.edu/records/ty32r-s8w85", issn = "1435-9855", doi = "10.4171/jems/1001", volume = "22", number = "12", pages = "3997-4024" } @article{https://authors.library.caltech.edu/records/ave15-h5f50, author = "Hutchcroft, Tom", title = "New critical exponent inequalities for percolation and the random cluster model", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210924-201102398", id = "https://authors.library.caltech.edu/records/ave15-h5f50", issn = "2690-1005", doi = "10.2140/pmp.2020.1.147", volume = "1", number = "1", pages = "147-165" } @other{https://authors.library.caltech.edu/records/ksvt4-kdg91, author = "Hutchcroft, Tom", title = "Transience and recurrence of sets for branching random walk via non-standard stochastic orders", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210924-202136797", id = "https://authors.library.caltech.edu/records/ksvt4-kdg91", doi = "10.48550/arXiv.2011.06402" } @article{https://authors.library.caltech.edu/records/s777e-ew214, author = "Hutchcroft, Tom", title = "The L² boundedness condition in nonamenable percolation", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193307690", id = "https://authors.library.caltech.edu/records/s777e-ew214", issn = "1083-6489", doi = "10.1214/20-ejp525", volume = "25", pages = "Art. No. 127" } @article{https://authors.library.caltech.edu/records/0an9f-d4t30, author = "Gwynne, Ewain and Hutchcroft, Tom", title = "Anomalous diffusion of random walk on random planar maps", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193307816", id = "https://authors.library.caltech.edu/records/0an9f-d4t30", issn = "0178-8051", doi = "10.1007/s00440-020-00986-7", volume = "178", number = "1-2", pages = "567-611" } @article{https://authors.library.caltech.edu/records/m8n9v-j1t44, author = "Hutchcroft, Tom", title = "Non-intersection of transient branching random walks", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193307881", id = "https://authors.library.caltech.edu/records/m8n9v-j1t44", issn = "0178-8051", doi = "10.1007/s00440-020-00964-z", volume = "178", number = "1-2", pages = "1-23" } @article{https://authors.library.caltech.edu/records/w8j7r-3fk10, author = "Hutchcroft, Tom", title = "Nonuniqueness and mean-field criticality for percolation on nonunimodular transitive graphs", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193307757", id = "https://authors.library.caltech.edu/records/w8j7r-3fk10", issn = "0894-0347", doi = "10.1090/jams/953", volume = "33", number = "4", pages = "1101-1165" } @article{https://authors.library.caltech.edu/records/ba2tq-frh31, author = "Hutchcroft, Tom and Pete, Gábor", title = "Kazhdan groups have cost 1", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193307950", id = "https://authors.library.caltech.edu/records/ba2tq-frh31", issn = "0020-9910", doi = "10.1007/s00222-020-00967-6", volume = "221", number = "3", pages = "873-891" } @other{https://authors.library.caltech.edu/records/2xfrr-8xy91, author = "Hutchcroft, Tom", title = "Continuity of the Ising phase transition on nonamenable groups", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210924-202122977", id = "https://authors.library.caltech.edu/records/2xfrr-8xy91", doi = "10.48550/arXiv.2007.15625" } @article{https://authors.library.caltech.edu/records/cqd0v-w8754, author = "Hutchcroft, Tom", title = "Indistinguishability of collections of trees in the uniform spanning forest", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193308155", id = "https://authors.library.caltech.edu/records/cqd0v-w8754", issn = "0246-0203", doi = "10.1214/19-AIHP988", volume = "56", number = "2", pages = "917-927" } @article{https://authors.library.caltech.edu/records/d2qn7-4t233, author = "Hutchcroft, Tom", title = "Locality of the critical probability for transitive graphs of exponential growth", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193308018", id = "https://authors.library.caltech.edu/records/d2qn7-4t233", issn = "0091-1798", doi = "10.1214/19-AOP1395", volume = "48", number = "3", pages = "1352-1371" } @article{https://authors.library.caltech.edu/records/7dw4y-4c316, author = "Hutchcroft, Tom", title = "Universality of high-dimensional spanning forests and sandpiles", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210923-213625943", id = "https://authors.library.caltech.edu/records/7dw4y-4c316", issn = "0178-8051", doi = "10.1007/s00440-019-00923-3", volume = "176", number = "1-2", pages = "533-597" } @article{https://authors.library.caltech.edu/records/reagx-64650, author = "Holroyd, Alexander E. and Hutchcroft, Tom and Levy, Avi", title = "Mallows permutations and finite dependence", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193308087", id = "https://authors.library.caltech.edu/records/reagx-64650", issn = "0091-1798", doi = "10.1214/19-AOP1363", volume = "48", number = "1", pages = "343-379" } @article{https://authors.library.caltech.edu/records/mcd2a-8fa05, author = "Hutchcroft, Tom and Peres, Yuval", title = "The component graph of the uniform spanning forest: transitions in dimensions 9,10,11, ...", year = "2019", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193309372", id = "https://authors.library.caltech.edu/records/mcd2a-8fa05", issn = "0178-8051", doi = "10.1007/s00440-018-0884-3", volume = "175", number = "1-2", pages = "141-208" } @article{https://authors.library.caltech.edu/records/4264h-6jw70, author = "Hutchcroft, Tom and Nachmias, Asaf", title = "Uniform spanning forests of planar graphs", year = "2019", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193309305", id = "https://authors.library.caltech.edu/records/4264h-6jw70", issn = "2050-5094", doi = "10.1017/fms.2019.14", volume = "7", pages = "Art. No. e29" } @article{https://authors.library.caltech.edu/records/m6mec-31e56, author = "Hutchcroft, Tom", title = "Self-avoiding walk on nonunimodular transitive graphs", year = "2019", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193309236", id = "https://authors.library.caltech.edu/records/m6mec-31e56", issn = "0091-1798", doi = "10.1214/18-AOP1322", volume = "47", number = "5", pages = "2801-2829" } @article{https://authors.library.caltech.edu/records/exzam-6kr78, author = "Hutchcroft, Tom", title = "Percolation on hyperbolic graphs", year = "2019", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193309440", id = "https://authors.library.caltech.edu/records/exzam-6kr78", issn = "1016-443X", doi = "10.1007/s00039-019-00498-0", volume = "29", number = "3", pages = "766-810" } @article{https://authors.library.caltech.edu/records/x43w2-e4p85, author = "Hutchcroft, Tom", title = "Statistical physics on a product of trees", year = "2019", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193309508", id = "https://authors.library.caltech.edu/records/x43w2-e4p85", issn = "0246-0203", doi = "10.1214/18-aihp906", volume = "55", number = "2", pages = "1001-1010" } @article{https://authors.library.caltech.edu/records/228dv-bnt78, author = "Hutchcroft, Tom", title = "Harmonic Dirichlet functions on planar graphs", year = "2019", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193309575", id = "https://authors.library.caltech.edu/records/228dv-bnt78", issn = "0179-5376", doi = "10.1007/s00454-019-00057-2", volume = "61", number = "3", pages = "479-506" } @article{https://authors.library.caltech.edu/records/40548-8c694, author = "Holroyd, Alexander E. and Hutchcroft, Tom and Levy, Avi", title = "Finitely dependent cycle coloring", year = "2018", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193309713", id = "https://authors.library.caltech.edu/records/40548-8c694", issn = "1083-589X", doi = "10.1214/18-ECP118", volume = "23", pages = "Art. No. 64" } @article{https://authors.library.caltech.edu/records/xf9ak-cr102, author = "Foxall, Eric and Hutchcroft, Tom and Junge, Matthew", title = "Coalescing random walk on unimodular graphs", year = "2018", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210923-184021815", id = "https://authors.library.caltech.edu/records/xf9ak-cr102", issn = "1083-589X", doi = "10.1214/18-ecp136", volume = "23", pages = "Art. No. 62" } @article{https://authors.library.caltech.edu/records/21ast-60592, author = "Angel, Omer and Hutchcroft, Tom and Nachmias, Asaf and Ray, Gourab", title = "Hyperbolic and Parabolic Unimodular Random Maps", year = "2018", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210923-184021127", id = "https://authors.library.caltech.edu/records/21ast-60592", issn = "1016-443X", doi = "10.1007/s00039-018-0446-y", volume = "28", number = "4", pages = "879-942" } @article{https://authors.library.caltech.edu/records/ak4z3-yey29, author = "Hutchcroft, Tom", title = "Interlacements and the wired uniform spanning forest", year = "2018", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210924-190634891", id = "https://authors.library.caltech.edu/records/ak4z3-yey29", issn = "0091-1798", doi = "10.1214/17-aop1203", volume = "46", number = "2", pages = "1170-1200" } @article{https://authors.library.caltech.edu/records/9c6re-9k844, author = "Hutchcroft, Tom", title = "The Hammersley-Welsh bound for self-avoiding walk revisited", year = "2018", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210924-184806499", id = "https://authors.library.caltech.edu/records/9c6re-9k844", issn = "1083-589X", doi = "10.1214/17-ECP94", volume = "23", pages = "Art. No. 5" } @book{https://authors.library.caltech.edu/records/5d27n-a1k66, author = "Angel, Omer and Hutchcroft, Tom", title = "Counterexamples for percolation on unimodular random graphs", year = "2018", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210922-193309642", id = "https://authors.library.caltech.edu/records/5d27n-a1k66", isbn = "978-1-4704-3914-9", doi = "10.1090/conm/719/14465", pages = "11-28" } @article{https://authors.library.caltech.edu/records/ds0pp-v5489, author = "Hutchcroft, Tom and Peres, Yuval", title = "Boundaries of planar graphs: a unified approach", year = "2017", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210924-183504452", id = "https://authors.library.caltech.edu/records/ds0pp-v5489", issn = "1083-6489", doi = "10.1214/17-ejp116", volume = "22", pages = "Art. No. 100" } @article{https://authors.library.caltech.edu/records/9vs1v-3e586, author = "Hutchcroft, Tom and Nachmias, Asaf", title = "Indistinguishability of trees in uniform spanning forests", year = "2017", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210923-225150172", id = "https://authors.library.caltech.edu/records/9vs1v-3e586", issn = "0178-8051", doi = "10.1007/s00440-016-0707-3", volume = "168", number = "1-2", pages = "113-152" } @article{https://authors.library.caltech.edu/records/3eaf4-f6079, author = "Hutchcroft, Tom", title = "Wired cycle-breaking dynamics for uniform spanning forests", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210924-190634976", id = "https://authors.library.caltech.edu/records/3eaf4-f6079", issn = "0091-1798", doi = "10.1214/15-AOP1063", volume = "44", number = "6", pages = "3879-3892" } @article{https://authors.library.caltech.edu/records/a1rdy-13148, author = "Angel, Omer and Hutchcroft, Tom and Nachmias, Asaf and Ray, Gourab", title = "Unimodular hyperbolic triangulations: circle packing and random walk", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210923-184021534", id = "https://authors.library.caltech.edu/records/a1rdy-13148", issn = "0020-9910", doi = "10.1007/s00222-016-0653-9", volume = "206", number = "1", pages = "229-268" } @article{https://authors.library.caltech.edu/records/qy3jd-0m146, author = "Hutchcroft, Tom", title = "Critical percolation on any quasi-transitive graph of exponential growth has no infinite clusters", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210924-190635043", id = "https://authors.library.caltech.edu/records/qy3jd-0m146", issn = "1631-073X", doi = "10.1016/j.crma.2016.07.013", volume = "354", number = "9", pages = "944-947" } @article{https://authors.library.caltech.edu/records/rwyak-pyf27, author = "Hutchcroft, Tom and Peres, Yuval", title = "Collisions of random walks in reversible random graphs", year = "2015", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210923-215831853", id = "https://authors.library.caltech.edu/records/rwyak-pyf27", issn = "1083-589X", doi = "10.1214/ecp.v20-4330", volume = "20", pages = "Art. No. 4330" }