Hutchcroft, Thomas

Combined from CaltechAUTHORS

• Easo, Philip and Hutchcroft, Tom, el al. (2024) Double-exponential susceptibility growth in Dyson's hierarchical model with |x − y|⁻² interaction; Journal of Mathematical Physics; Vol. 65; No. 2; 023301; 10.1063/5.0147340
• Hutchcroft, Tom and Sousi, Perla (2023) Logarithmic Corrections to Scaling in the Four-dimensional Uniform Spanning Tree; Communications in Mathematical Physics; 10.1007/s00220-023-04686-w
• Hutchcroft, Tom and Michta, Emmanuel, el al. (2023) High-dimensional near-critical percolation and the torus plateau; Annals of Probability; Vol. 51; No. 2; 580-625; 10.1214/22-aop1608
• Hutchcroft, Tom and Kent, Alexander, el al. (2023) The bunkbed conjecture holds in the p ↑ 1 limit; Combinatorics, Probability and Computing; 1-7; 10.1017/s096354832200027x
• Hutchcroft, Tom (2023) Transience and anchored isoperimetric dimension of supercritical percolation clusters; Electronic Journal of Probability; Vol. 28; 1-15; 10.1214/23-ejp905
• Hutchcroft, Tom (2022) Sharp hierarchical upper bounds on the critical two-point function for long-range percolation on ℤᵈ; Journal of Mathematical Physics; Vol. 63; No. 11; Art. No. 113301; 10.1063/5.0088450
• Hutchcroft, Tom (2022) On the Derivation of Mean-Field Percolation Critical Exponents from the Triangle Condition; Journal of Statistical Physics; Vol. 189; No. 1; Art. No. 6; 10.1007/s10955-022-02967-7
• Hutchcroft, Tom (2022) Slightly supercritical percolation on non-amenable graphs I: The distribution of finite clusters; Proceedings of the London Mathematical Society; Vol. 125; No. 4; 968-1013; 10.1112/plms.12474
• Halberstam, Noah and Hutchcroft, Tom (2022) What are the limits of universality?; Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences; Vol. 478; No. 2259; Art. No. 20210857; 10.1098/rspa.2021.0857
• Halberstam, Noah and Hutchcroft, Tom (2022) Collisions of random walks in dynamic random environments; Electronic Journal of Probability; Vol. 27; Art. No. 8; 10.1214/21-EJP738
• Hermon, Jonathan and Hutchcroft, Tom (2021) No Percolation at Criticality on Certain Groups of Intermediate Growth; International Mathematics Research Notices; Vol. 2021; No. 22; 17433-17455; 10.1093/imrn/rnz265
• Hutchcroft, Tom (2021) The critical two-point function for long-range percolation on the hierarchical lattice; 10.48550/arXiv.2103.17013
• Hutchcroft, Tom (2021) Slightly supercritical percolation on nonamenable graphs I: The distribution of finite clusters; 10.48550/arXiv.2002.02916
• Angel, Omer and Hutchcroft, Tom, el al. (2021) On the tail of the branching random walk local time; 10.48550/arXiv.2002.12188
• Hutchcroft, Tom and Michta, Emmanuel, el al. (2021) High-dimensional near-critical percolation and the torus plateau; 10.48550/arXiv.2107.12971
• Hutchcroft, Tom (2021) Non-intersection of transient branching random walks; 10.48550/arXiv.1910.01018
• Hutchcroft, Tom and Tointon, Matthew (2021) Non-triviality of the phase transition for percolation on finite transitive graphs; 10.48550/arXiv.2104.05607
• Hutchcroft, Tom (2021) Power-law bounds for critical long-range percolation below the upper-critical dimension; 10.48550/arXiv.2008.11197
• Hutchcroft, Tom and Sousi, Perla (2021) Logarithmic corrections to scaling in the four-dimensional uniform spanning tree; 10.48550/arXiv.2010.15830
• Hutchcroft, Tom (2021) On the derivation of mean-field percolation critical exponents from the triangle condition; 10.48550/arXiv.2106.06400v2
• Hermon, Jonathan and Hutchcroft, Tom (2021) Supercritical percolation on nonamenable graphs: isoperimetry, analyticity, and exponential decay of the cluster size distribution; Inventiones Mathematicae; Vol. 224; No. 2; 445-486; 10.1007/s00222-020-01011-3
• Benjamini, Itai and Hutchcroft, Tom (2021) Large, lengthy graphs look locally like lines; Bulletin of the Lindon Mathematical Society; Vol. 53; No. 2; 482-492; 10.1112/blms.12436
• Curien, Nicolas and Hutchcroft, Tom, el al. (2020) Geometric and spectral properties of causal maps; Journal of the European Mathematical Society; Vol. 22; No. 12; 3997-4024; 10.4171/jems/1001
• Hutchcroft, Tom (2020) New critical exponent inequalities for percolation and the random cluster model; Probability and Mathematical Physics; Vol. 1; No. 1; 147-165; 10.2140/pmp.2020.1.147
• Hutchcroft, Tom (2020) Transience and recurrence of sets for branching random walk via non-standard stochastic orders; 10.48550/arXiv.2011.06402
• Hutchcroft, Tom (2020) The L² boundedness condition in nonamenable percolation; Electronic Journal of Probability; Vol. 25; Art. No. 127; 10.1214/20-ejp525
• Gwynne, Ewain and Hutchcroft, Tom (2020) Anomalous diffusion of random walk on random planar maps; Probability Theory and Related Fields; Vol. 178; No. 1-2; 567-611; 10.1007/s00440-020-00986-7
• Hutchcroft, Tom (2020) Nonuniqueness and mean-field criticality for percolation on nonunimodular transitive graphs; Journal of the American Mathematical Society; Vol. 33; No. 4; 1101-1165; 10.1090/jams/953
• Hutchcroft, Tom (2020) Non-intersection of transient branching random walks; Probability Theory and Related Fields; Vol. 178; No. 1-2; 1-23; 10.1007/s00440-020-00964-z
• Hutchcroft, Tom and Pete, Gábor (2020) Kazhdan groups have cost 1; Inventiones Mathematicae; Vol. 221; No. 3; 873-891; 10.1007/s00222-020-00967-6
• Hutchcroft, Tom (2020) Continuity of the Ising phase transition on nonamenable groups; 10.48550/arXiv.2007.15625
• Hutchcroft, Tom (2020) Indistinguishability of collections of trees in the uniform spanning forest; Annales de l'Institut Henri Poincaré, Probabilités et Statistiques; Vol. 56; No. 2; 917-927; 10.1214/19-AIHP988
• Hutchcroft, Tom (2020) Locality of the critical probability for transitive graphs of exponential growth; Annals of Probability; Vol. 48; No. 3; 1352-1371; 10.1214/19-AOP1395
• Hutchcroft, Tom (2020) Universality of high-dimensional spanning forests and sandpiles; Probability Theory and Related Fields; Vol. 176; No. 1-2; 533-597; 10.1007/s00440-019-00923-3
• Holroyd, Alexander E. and Hutchcroft, Tom, el al. (2020) Mallows permutations and finite dependence; Annals of Probability; Vol. 48; No. 1; 343-379; 10.1214/19-AOP1363
• Hutchcroft, Tom and Peres, Yuval (2019) The component graph of the uniform spanning forest: transitions in dimensions 9,10,11, ...; Probability Theory and Related Fields; Vol. 175; No. 1-2; 141-208; 10.1007/s00440-018-0884-3
• Hutchcroft, Tom and Nachmias, Asaf (2019) Uniform spanning forests of planar graphs; Forum Mathetmatics, Sigma; Vol. 7; Art. No. e29; 10.1017/fms.2019.14
• Hutchcroft, Tom (2019) Self-avoiding walk on nonunimodular transitive graphs; Annals of Probability; Vol. 47; No. 5; 2801-2829; 10.1214/18-AOP1322
• Hutchcroft, Tom (2019) Percolation on hyperbolic graphs; Geometric and Functional Analysis; Vol. 29; No. 3; 766-810; 10.1007/s00039-019-00498-0
• Hutchcroft, Tom (2019) Statistical physics on a product of trees; Annales de l'Institut Henri Poincaré, Probabilités et Statistiques; Vol. 55; No. 2; 1001-1010; 10.1214/18-aihp906
• Hutchcroft, Tom (2019) Harmonic Dirichlet functions on planar graphs; Discrete & Computational Geometry; Vol. 61; No. 3; 479-506; 10.1007/s00454-019-00057-2
• Holroyd, Alexander E. and Hutchcroft, Tom, el al. (2018) Finitely dependent cycle coloring; Electronic Communications in Probability; Vol. 23; Art. No. 64; 10.1214/18-ECP118
• Foxall, Eric and Hutchcroft, Tom, el al. (2018) Coalescing random walk on unimodular graphs; Electronic Communications in Probability; Vol. 23; Art. No. 62; 10.1214/18-ecp136
• Angel, Omer and Hutchcroft, Tom, el al. (2018) Hyperbolic and Parabolic Unimodular Random Maps; Geometric and Functional Analysis; Vol. 28; No. 4; 879-942; 10.1007/s00039-018-0446-y
• Hutchcroft, Tom (2018) Interlacements and the wired uniform spanning forest; Annals of Probability; Vol. 46; No. 2; 1170-1200; 10.1214/17-aop1203
• Hutchcroft, Tom (2018) The Hammersley-Welsh bound for self-avoiding walk revisited; Electronic Communications in Probability; Vol. 23; Art. No. 5; 10.1214/17-ECP94
• Angel, Omer and Hutchcroft, Tom (2018) Counterexamples for percolation on unimodular random graphs; ISBN 978-1-4704-3914-9; Unimodularity in randomly generated graphs; 11-28; 10.1090/conm/719/14465
• Hutchcroft, Tom and Peres, Yuval (2017) Boundaries of planar graphs: a unified approach; Electronic Journal of Probability; Vol. 22; Art. No. 100; 10.1214/17-ejp116
• Hutchcroft, Tom and Nachmias, Asaf (2017) Indistinguishability of trees in uniform spanning forests; Probability Theory and Related Fields; Vol. 168; No. 1-2; 113-152; 10.1007/s00440-016-0707-3
• Hutchcroft, Tom (2016) Wired cycle-breaking dynamics for uniform spanning forests; Annals of Probability; Vol. 44; No. 6; 3879-3892; 10.1214/15-AOP1063
• Angel, Omer and Hutchcroft, Tom, el al. (2016) Unimodular hyperbolic triangulations: circle packing and random walk; Inventiones Mathematicae; Vol. 206; No. 1; 229-268; 10.1007/s00222-016-0653-9
• Hutchcroft, Tom (2016) Critical percolation on any quasi-transitive graph of exponential growth has no infinite clusters; Comptes Rendus Mathematique; Vol. 354; No. 9; 944-947; 10.1016/j.crma.2016.07.013
• Hutchcroft, Tom and Peres, Yuval (2015) Collisions of random walks in reversible random graphs; Electronic Communications in Probability; Vol. 20; Art. No. 4330; 10.1214/ecp.v20-4330