*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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