<h1>Hutchcroft, Thomas</h1>
<h2>Article from <a href="https://authors.library.caltech.edu">CaltechAUTHORS</a></h2>
<ul>
<li>Easo, Philip and Hutchcroft, Tom, el al. (2024) <a href="https://authors.library.caltech.edu/records/bxqj9-jy145">Double-exponential susceptibility growth in Dyson's hierarchical model with |x − y|⁻² interaction</a>; Journal of Mathematical Physics; Vol. 65; No. 2; 023301; <a href="https://doi.org/10.1063/5.0147340">10.1063/5.0147340</a></li>
<li>Hutchcroft, Tom and Sousi, Perla (2023) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20230420-614686900.16">Logarithmic Corrections to Scaling in the Four-dimensional Uniform Spanning Tree</a>; Communications in Mathematical Physics; <a href="https://doi.org/10.1007/s00220-023-04686-w">10.1007/s00220-023-04686-w</a></li>
<li>Hutchcroft, Tom and Michta, Emmanuel, el al. (2023) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20230411-695015900.4">High-dimensional near-critical percolation and the torus plateau</a>; Annals of Probability; Vol. 51; No. 2; 580-625; <a href="https://doi.org/10.1214/22-aop1608">10.1214/22-aop1608</a></li>
<li>Hutchcroft, Tom and Kent, Alexander, el al. (2023) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20230103-818063100.57">The bunkbed conjecture holds in the p ↑ 1 limit</a>; Combinatorics, Probability and Computing; 1-7; <a href="https://doi.org/10.1017/s096354832200027x">10.1017/s096354832200027x</a></li>
<li>Hutchcroft, Tom (2023) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20230725-745306000.2">Transience and anchored isoperimetric dimension of supercritical percolation clusters</a>; Electronic Journal of Probability; Vol. 28; 1-15; <a href="https://doi.org/10.1214/23-ejp905">10.1214/23-ejp905</a></li>
<li>Hutchcroft, Tom (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20221129-370786800.2">Sharp hierarchical upper bounds on the critical two-point function for long-range percolation on ℤᵈ</a>; Journal of Mathematical Physics; Vol. 63; No. 11; Art. No. 113301; <a href="https://doi.org/10.1063/5.0088450">10.1063/5.0088450</a></li>
<li>Hutchcroft, Tom (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20220907-386218000">Slightly supercritical percolation on non-amenable graphs I: The distribution of finite clusters</a>; Proceedings of the London Mathematical Society; Vol. 125; No. 4; 968-1013; <a href="https://doi.org/10.1112/plms.12474">10.1112/plms.12474</a></li>
<li>Hutchcroft, Tom (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20220823-628154700.756">On the Derivation of Mean-Field Percolation Critical Exponents from the Triangle Condition</a>; Journal of Statistical Physics; Vol. 189; No. 1; Art. No. 6; <a href="https://doi.org/10.1007/s10955-022-02967-7">10.1007/s10955-022-02967-7</a></li>
<li>Halberstam, Noah and Hutchcroft, Tom (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210924-203748960">What are the limits of universality?</a>; Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences; Vol. 478; No. 2259; Art. No. 20210857; <a href="https://doi.org/10.1098/rspa.2021.0857">10.1098/rspa.2021.0857</a></li>
<li>Halberstam, Noah and Hutchcroft, Tom (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210924-202129801">Collisions of random walks in dynamic random environments</a>; Electronic Journal of Probability; Vol. 27; Art. No. 8; <a href="https://doi.org/10.1214/21-EJP738">10.1214/21-EJP738</a></li>
<li>Hermon, Jonathan and Hutchcroft, Tom (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210924-202109319">No Percolation at Criticality on Certain Groups of Intermediate Growth</a>; International Mathematics Research Notices; Vol. 2021; No. 22; 17433-17455; <a href="https://doi.org/10.1093/imrn/rnz265">10.1093/imrn/rnz265</a></li>
<li>Hermon, Jonathan and Hutchcroft, Tom (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210922-193306644">Supercritical percolation on nonamenable graphs: isoperimetry, analyticity, and exponential decay of the cluster size distribution</a>; Inventiones Mathematicae; Vol. 224; No. 2; 445-486; <a href="https://doi.org/10.1007/s00222-020-01011-3">10.1007/s00222-020-01011-3</a></li>
<li>Benjamini, Itai and Hutchcroft, Tom (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210922-193307537">Large, lengthy graphs look locally like lines</a>; Bulletin of the Lindon Mathematical Society; Vol. 53; No. 2; 482-492; <a href="https://doi.org/10.1112/blms.12436">10.1112/blms.12436</a></li>
<li>Curien, Nicolas and Hutchcroft, Tom, el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210922-193307624">Geometric and spectral properties of causal maps</a>; Journal of the European Mathematical Society; Vol. 22; No. 12; 3997-4024; <a href="https://doi.org/10.4171/jems/1001">10.4171/jems/1001</a></li>
<li>Hutchcroft, Tom (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210924-201102398">New critical exponent inequalities for percolation and the random cluster model</a>; Probability and Mathematical Physics; Vol. 1; No. 1; 147-165; <a href="https://doi.org/10.2140/pmp.2020.1.147">10.2140/pmp.2020.1.147</a></li>
<li>Hutchcroft, Tom (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210922-193307690">The L² boundedness condition in nonamenable percolation</a>; Electronic Journal of Probability; Vol. 25; Art. No. 127; <a href="https://doi.org/10.1214/20-ejp525">10.1214/20-ejp525</a></li>
<li>Gwynne, Ewain and Hutchcroft, Tom (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210922-193307816">Anomalous diffusion of random walk on random planar maps</a>; Probability Theory and Related Fields; Vol. 178; No. 1-2; 567-611; <a href="https://doi.org/10.1007/s00440-020-00986-7">10.1007/s00440-020-00986-7</a></li>
<li>Hutchcroft, Tom (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210922-193307757">Nonuniqueness and mean-field criticality for percolation on nonunimodular transitive graphs</a>; Journal of the American Mathematical Society; Vol. 33; No. 4; 1101-1165; <a href="https://doi.org/10.1090/jams/953">10.1090/jams/953</a></li>
<li>Hutchcroft, Tom (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210922-193307881">Non-intersection of transient branching random walks</a>; Probability Theory and Related Fields; Vol. 178; No. 1-2; 1-23; <a href="https://doi.org/10.1007/s00440-020-00964-z">10.1007/s00440-020-00964-z</a></li>
<li>Hutchcroft, Tom and Pete, Gábor (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210922-193307950">Kazhdan groups have cost 1</a>; Inventiones Mathematicae; Vol. 221; No. 3; 873-891; <a href="https://doi.org/10.1007/s00222-020-00967-6">10.1007/s00222-020-00967-6</a></li>
<li>Hutchcroft, Tom (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210922-193308155">Indistinguishability of collections of trees in the uniform spanning forest</a>; Annales de l'Institut Henri Poincaré, Probabilités et Statistiques; Vol. 56; No. 2; 917-927; <a href="https://doi.org/10.1214/19-AIHP988">10.1214/19-AIHP988</a></li>
<li>Hutchcroft, Tom (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210922-193308018">Locality of the critical probability for transitive graphs of exponential growth</a>; Annals of Probability; Vol. 48; No. 3; 1352-1371; <a href="https://doi.org/10.1214/19-AOP1395">10.1214/19-AOP1395</a></li>
<li>Hutchcroft, Tom (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210923-213625943">Universality of high-dimensional spanning forests and sandpiles</a>; Probability Theory and Related Fields; Vol. 176; No. 1-2; 533-597; <a href="https://doi.org/10.1007/s00440-019-00923-3">10.1007/s00440-019-00923-3</a></li>
<li>Holroyd, Alexander E. and Hutchcroft, Tom, el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210922-193308087">Mallows permutations and finite dependence</a>; Annals of Probability; Vol. 48; No. 1; 343-379; <a href="https://doi.org/10.1214/19-AOP1363">10.1214/19-AOP1363</a></li>
<li>Hutchcroft, Tom and Peres, Yuval (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210922-193309372">The component graph of the uniform spanning forest: transitions in dimensions 9,10,11, ...</a>; Probability Theory and Related Fields; Vol. 175; No. 1-2; 141-208; <a href="https://doi.org/10.1007/s00440-018-0884-3">10.1007/s00440-018-0884-3</a></li>
<li>Hutchcroft, Tom and Nachmias, Asaf (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210922-193309305">Uniform spanning forests of planar graphs</a>; Forum Mathetmatics, Sigma; Vol. 7; Art. No. e29; <a href="https://doi.org/10.1017/fms.2019.14">10.1017/fms.2019.14</a></li>
<li>Hutchcroft, Tom (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210922-193309236">Self-avoiding walk on nonunimodular transitive graphs</a>; Annals of Probability; Vol. 47; No. 5; 2801-2829; <a href="https://doi.org/10.1214/18-AOP1322">10.1214/18-AOP1322</a></li>
<li>Hutchcroft, Tom (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210922-193309440">Percolation on hyperbolic graphs</a>; Geometric and Functional Analysis; Vol. 29; No. 3; 766-810; <a href="https://doi.org/10.1007/s00039-019-00498-0">10.1007/s00039-019-00498-0</a></li>
<li>Hutchcroft, Tom (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210922-193309508">Statistical physics on a product of trees</a>; Annales de l'Institut Henri Poincaré, Probabilités et Statistiques; Vol. 55; No. 2; 1001-1010; <a href="https://doi.org/10.1214/18-aihp906">10.1214/18-aihp906</a></li>
<li>Hutchcroft, Tom (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210922-193309575">Harmonic Dirichlet functions on planar graphs</a>; Discrete &amp; Computational Geometry; Vol. 61; No. 3; 479-506; <a href="https://doi.org/10.1007/s00454-019-00057-2">10.1007/s00454-019-00057-2</a></li>
<li>Holroyd, Alexander E. and Hutchcroft, Tom, el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210922-193309713">Finitely dependent cycle coloring</a>; Electronic Communications in Probability; Vol. 23; Art. No. 64; <a href="https://doi.org/10.1214/18-ECP118">10.1214/18-ECP118</a></li>
<li>Foxall, Eric and Hutchcroft, Tom, el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210923-184021815">Coalescing random walk on unimodular graphs</a>; Electronic Communications in Probability; Vol. 23; Art. No. 62; <a href="https://doi.org/10.1214/18-ecp136">10.1214/18-ecp136</a></li>
<li>Angel, Omer and Hutchcroft, Tom, el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210923-184021127">Hyperbolic and Parabolic Unimodular Random Maps</a>; Geometric and Functional Analysis; Vol. 28; No. 4; 879-942; <a href="https://doi.org/10.1007/s00039-018-0446-y">10.1007/s00039-018-0446-y</a></li>
<li>Hutchcroft, Tom (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210924-190634891">Interlacements and the wired uniform spanning forest</a>; Annals of Probability; Vol. 46; No. 2; 1170-1200; <a href="https://doi.org/10.1214/17-aop1203">10.1214/17-aop1203</a></li>
<li>Hutchcroft, Tom (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210924-184806499">The Hammersley-Welsh bound for self-avoiding walk revisited</a>; Electronic Communications in Probability; Vol. 23; Art. No. 5; <a href="https://doi.org/10.1214/17-ECP94">10.1214/17-ECP94</a></li>
<li>Hutchcroft, Tom and Peres, Yuval (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210924-183504452">Boundaries of planar graphs: a unified approach</a>; Electronic Journal of Probability; Vol. 22; Art. No. 100; <a href="https://doi.org/10.1214/17-ejp116">10.1214/17-ejp116</a></li>
<li>Hutchcroft, Tom and Nachmias, Asaf (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210923-225150172">Indistinguishability of trees in uniform spanning forests</a>; Probability Theory and Related Fields; Vol. 168; No. 1-2; 113-152; <a href="https://doi.org/10.1007/s00440-016-0707-3">10.1007/s00440-016-0707-3</a></li>
<li>Hutchcroft, Tom (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210924-190634976">Wired cycle-breaking dynamics for uniform spanning forests</a>; Annals of Probability; Vol. 44; No. 6; 3879-3892; <a href="https://doi.org/10.1214/15-AOP1063">10.1214/15-AOP1063</a></li>
<li>Angel, Omer and Hutchcroft, Tom, el al. (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210923-184021534">Unimodular hyperbolic triangulations: circle packing and random walk</a>; Inventiones Mathematicae; Vol. 206; No. 1; 229-268; <a href="https://doi.org/10.1007/s00222-016-0653-9">10.1007/s00222-016-0653-9</a></li>
<li>Hutchcroft, Tom (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210924-190635043">Critical percolation on any quasi-transitive graph of exponential growth has no infinite clusters</a>; Comptes Rendus Mathematique; Vol. 354; No. 9; 944-947; <a href="https://doi.org/10.1016/j.crma.2016.07.013">10.1016/j.crma.2016.07.013</a></li>
<li>Hutchcroft, Tom and Peres, Yuval (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210923-215831853">Collisions of random walks in reversible random graphs</a>; Electronic Communications in Probability; Vol. 20; Art. No. 4330; <a href="https://doi.org/10.1214/ecp.v20-4330">10.1214/ecp.v20-4330</a></li>
</ul>