- 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; Michta, Emmanuel; et el. (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; Kent, Alexander; et el. (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; Michta, Emmanuel; et el. (2021) High-dimensional
near-critical percolation and the torus plateau; 10.48550/arXiv.2107.12971
- 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) 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
- Angel, Omer; Hutchcroft, Tom; et el. (2021) On
the tail of the branching random walk local time; 10.48550/arXiv.2002.12188
- Hutchcroft, Tom (2021) Power-law
bounds for critical long-range percolation below the upper-critical
dimension; 10.48550/arXiv.2008.11197
- Hutchcroft, Tom (2021) Slightly
supercritical percolation on nonamenable graphs I: The distribution of
finite clusters; 10.48550/arXiv.2002.02916
- Hutchcroft, Tom (2021) The
critical two-point function for long-range percolation on the
hierarchical lattice; 10.48550/arXiv.2103.17013
- 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; Hutchcroft, Tom; et el. (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) 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 (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 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.; Hutchcroft, Tom; et el. (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.; Hutchcroft, Tom; et el. (2018) Finitely
dependent cycle coloring; Electronic Communications in Probability;
Vol. 23; Art. No. 64; 10.1214/18-ECP118
- Foxall, Eric; Hutchcroft, Tom; et el. (2018) Coalescing
random walk on unimodular graphs; Electronic Communications in
Probability; Vol. 23; Art. No. 62; 10.1214/18-ecp136
- Angel, Omer; Hutchcroft, Tom; et el. (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;
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; Hutchcroft, Tom; et el. (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