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
Power-law bounds for critical long-range percolation below the upper-critical dimension
– Probability Theory and Related Fields
(2021)
1
(DOI: 10.1007/s00440-021-01043-7)
Large, lengthy graphs look locally like lines
– Bulletin of the London Mathematical Society
(2020)
53,
482
(DOI: 10.1112/blms.12436)
New critical exponent inequalities for percolation and the random cluster model
– Probability and Mathematical Physics
(2020)
1,
147
(DOI: 10.2140/pmp.2020.1.147)
On the tail of the branching random walk local time
– Probability Theory and Related Fields
(2020)
180,
467
(DOI: 10.1007/s00440-020-01014-4)
Supercritical percolation on nonamenable graphs: isoperimetry, analyticity, and exponential decay of the cluster size distribution
– Inventiones mathematicae
(2020)
224,
445
(DOI: 10.1007/s00222-020-01011-3)
Nonuniqueness and mean-field criticality for percolation on nonunimodular transitive graphs
– Journal of the American Mathematical Society
(2020)
33,
1101
(DOI: 10.1090/jams/953)
Geometric and spectral properties of causal maps
– Journal of the European Mathematical Society
(2020)
22,
3997
(DOI: 10.4171/JEMS/1001)
Mallows permutations as stable matchings
– Canadian Journal of Mathematics
(2020)
1
(DOI: 10.4153/s0008414x20000590)
Anomalous diffusion of random walk on random planar maps
– Probability Theory and Related Fields
(2020)
178,
567
(DOI: 10.1007/s00440-020-00986-7)
Kazhdan groups have cost 1
– Inventiones Mathematicae
(2020)
221,
873
(DOI: 10.1007/s00222-020-00967-6)
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