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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

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
– Ann. Probab.
(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 (Academie des Sciences)
(2016)
354,
944
Collisions of random walks in reversible random graphs
T Hutchcroft, Y Peres
– Electronic Communications in Probability
(2015)
20,
Hyperbolic and Parabolic Unimodular Random Maps
O Angel, T Hutchcroft, A Nachmias, G Ray
– Geometric and Functional Analysis
Indistinguishability of collections of trees in the uniform spanning forest
T Hutchcroft
– Annales de l'institut Henri Poincare (B) Probability and Statistics
New critical exponent inequalities for percolation and the random cluster model
T Hutchcroft
– Probability and Mathematical Physics
Percolation on hyperbolic graphs
T Hutchcroft
– Geometric and Functional Analysis
Statistical physics on a product of trees
T Hutchcroft
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Room

D2.01

Telephone

01223 337967