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
Universality of high-dimensional spanning forests and sandpiles
– Probability Theory and Related Fields
(2019)
1
(DOI: 10.1007/s00440-019-00923-3)
Harmonic Dirichlet Functions on Planar Graphs
– Discrete & Computational Geometry
(2019)
61,
479
(DOI: 10.1007/s00454-019-00057-2)
Interlacements and the wired uniform spanning forest
– The Annals of Probability
(2018)
46,
1170
(DOI: 10.1214/17-aop1203)
The Hammersley-Welsh bound for self-avoiding walk revisited
– Electronic Communications in Probability
(2018)
23,
(DOI: 10.1214/17-ecp94)
The component graph of the uniform spanning forest: transitions in dimensions
$9,10,11,\ldots $
9
,
10
,
11
,
…
– Probability Theory and Related Fields
(2019)
175,
141
(DOI: 10.1007/s00440-018-0884-3)
Indistinguishability of trees in uniform spanning forests
– Probability Theory and Related Fields
(2017)
168,
113
(DOI: 10.1007/s00440-016-0707-3)
Boundaries of planar graphs: a unified approach
– Electronic Journal of Probability
(2017)
22,
(DOI: 10.1214/17-ejp116)
Wired cycle-breaking dynamics for uniform spanning forests
– The Annals of Probability
(2016)
44,
3879
(DOI: 10.1214/15-aop1063)
Unimodular hyperbolic triangulations: circle packing and random walk
– Inventiones Mathematicae
(2016)
206,
229
(DOI: 10.1007/s00222-016-0653-9)
Critical percolation on any quasi-transitive graph of exponential growth has no infinite clusters
– Comptes Rendus Mathematique
(2016)
354,
944
(DOI: 10.1016/j.crma.2016.07.013)
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