# Department of Pure Mathematics and Mathematical Statistics

Research Interests: Planar graphs, circle packing, random graphs, maps, and other structures, random walk, potential theory, spanning forests, percolation, spin systems, self-avoiding walk, probability on groups, random permutations.

## Publications

Harmonic Dirichlet Functions on Planar Graphs
T Hutchcroft
– Discrete & Computational Geometry
(2019)
61,
479
Universality of high-dimensional spanning forests and sandpiles
T Hutchcroft
– Probability Theory and Related Fields
(2019)
1
Interlacements and the wired uniform spanning forest
T Hutchcroft
– The Annals of Probability
(2018)
46,
1170
The Hammersley-Welsh bound for self-avoiding walk revisited
T Hutchcroft
– Electronic Communications in Probability
(2018)
23,
The component graph of the uniform spanning forest: transitions in dimensions $9,10,11,\ldots$ 9 , 10 , 11 , …
T Hutchcroft, Y Peres
– Probability Theory and Related Fields
(2019)
175,
141
Indistinguishability of trees in uniform spanning forests
T Hutchcroft, A Nachmias
– Probability Theory and Related Fields
(2017)
168,
113
Boundaries of planar graphs: a unified approach
T Hutchcroft, Y Peres
– Electronic Journal of Probability
(2017)
22,
Wired cycle-breaking dynamics for uniform spanning forests
T Hutchcroft
– The Annals of Probability
(2016)
44,
3879
Unimodular hyperbolic triangulations: circle packing and random walk
O Angel, T Hutchcroft, A Nachmias, G Ray
– Inventiones Mathematicae
(2016)
206,
229
Critical percolation on any quasi-transitive graph of exponential growth has no infinite clusters
T Hutchcroft
– Comptes Rendus Mathematique
(2016)
354,
944
• 1 of 3
• >

D2.01

01223 337967