Tom Hutchcroft

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zbMath Open hutchcroft.tomWikidataQ102924240 ScholiaQ102924240MaRDI QIDQ309775

List of research outcomes

PublicationDate of PublicationType
The critical two-point function for long-range percolation on the hierarchical lattice2024-04-10Paper
Double-exponential susceptibility growth in Dyson’s hierarchical model with |xy|−2 interaction2024-03-04Paper
Most transient random walks have infinitely many cut times2024-01-23Paper
On the boundary at infinity for branching random walk2024-01-17Paper
Slightly supercritical percolation on nonamenable graphs. II: Growth and isoperimetry of infinite clusters2024-01-09Paper
Thick points of 4D critical branching Brownian motion2023-12-01Paper
The bunkbed conjecture holds in the limit2023-11-23Paper
Continuity of the Ising phase transition on nonamenable groups2023-10-25Paper
The critical percolation probability is local2023-10-17Paper
Slightly supercritical percolation on non‐amenable graphs I: The distribution of finite clusters2023-09-20Paper
Uniform finite presentation for groups of polynomial growth2023-08-23Paper
Logarithmic corrections to scaling in the four-dimensional uniform spanning tree2023-07-04Paper
High-dimensional near-critical percolation and the torus plateau2023-05-10Paper
Sharp hierarchical upper bounds on the critical two-point function for long-range percolation on Zd2023-03-24Paper
Uniqueness of the infinite tree in low-dimensional random forests2023-02-23Paper
Transience and anchored isoperimetric dimension of supercritical percolation clusters2023-02-19Paper
The number of ends in the uniform spanning tree for recurrent unimodular random graphs2023-01-10Paper
Critical cluster volumes in hierarchical percolation2022-11-10Paper
Logarithmic corrections to the Alexander-Orbach conjecture for the four-dimensional uniform spanning tree2022-11-02Paper
On the derivation of mean-field percolation critical exponents from the triangle condition2022-08-08Paper
Transience and recurrence of sets for branching random walk via non-standard stochastic orders2022-07-15Paper
Transience and anchored isoperimetric dimension of supercritical percolation clusters2022-07-11Paper
New critical exponent inequalities for percolation and the random cluster model2022-03-09Paper
Collisions of random walks in dynamic random environments2022-02-22Paper
Sharp hierarchical upper bounds on the critical two-point function for long-range percolation on $\mathbb{Z}^d$2022-02-15Paper
No Percolation at Criticality on Certain Groups of Intermediate Growth2022-01-18Paper
Mallows permutations as stable matchings2022-01-12Paper
Power-law bounds for critical long-range percolation below the upper-critical dimension2021-11-26Paper
Large, lengthy graphs look locally like lines2021-07-02Paper
What are the limits of universality?2021-06-24Paper
Supercritical percolation on nonamenable graphs: isoperimetry, analyticity, and exponential decay of the cluster size distribution2021-06-07Paper
The \(L^2\) boundedness condition in nonamenable percolation2021-05-04Paper
Geometric and spectral properties of causal maps2020-12-17Paper
Nonuniqueness and mean-field criticality for percolation on nonunimodular transitive graphs2020-11-02Paper
Collisions of Random Walks in Dynamic Random Environments2020-09-29Paper
Non-intersection of transient branching random walks2020-09-22Paper
Anomalous diffusion of random walk on random planar maps2020-09-22Paper
Kazhdan groups have cost 12020-08-12Paper
Locality of the critical probability for transitive graphs of exponential growth2020-07-31Paper
Mallows permutations and finite dependence2020-05-29Paper
Indistinguishability of collections of trees in the uniform spanning forest2020-05-13Paper
Universality of high-dimensional spanning forests and sandpiles2020-01-31Paper
Self-avoiding walk on nonunimodular transitive graphs2019-12-18Paper
Counterexamples for percolation on unimodular random graphs2019-10-16Paper
The component graph of the uniform spanning forest: transitions in dimensions \(9,10,11,\ldots\)2019-09-24Paper
UNIFORM SPANNING FORESTS OF PLANAR GRAPHS2019-09-17Paper
Hyperbolic and parabolic unimodular random maps2019-09-11Paper
Statistical physics on a product of trees2019-08-22Paper
Percolation on hyperbolic graphs2019-06-26Paper
Supercritical percolation on nonamenable graphs: Isoperimetry, analyticity, and exponential decay of the cluster size distribution2019-04-23Paper
Harmonic Dirichlet functions on planar graphs2019-03-13Paper
Kazhdan groups have cost 12018-10-25Paper
Coalescing random walk on unimodular graphs2018-10-24Paper
Finitely dependent cycle coloring2018-10-24Paper
The Hammersley-Welsh bound for self-avoiding walk revisited2018-05-11Paper
Interlacements and the wired uniform spanning forest2018-04-24Paper
Boundaries of planar graphs: a unified approach2018-01-18Paper
Indistinguishability of trees in uniform spanning forests2017-06-22Paper
Wired cycle-breaking dynamics for uniform spanning forests2017-01-13Paper
Unimodular hyperbolic triangulations: circle packing and random walk2016-12-23Paper
Critical percolation on any quasi-transitive graph of exponential growth has no infinite clusters2016-09-07Paper
Collisions of random walks in reversible random graphs2015-12-01Paper

Research outcomes over time


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