Professor of Probability
Research Interests: Random walks, Brownian motion, mixing times of Markov chains, Poisson Brownian motions, rearrangement inequalities.
Publications
Logarithmic corrections to scaling in the four-dimensional uniform spanning tree
– Communications in Mathematical Physics
(2023)
401,
2115
(doi: 10.1007/s00220-023-04686-w)
Logarithmic corrections to scaling in the four-dimensional uniform
spanning tree
(2020)
Cutoff for Random Walk on Dynamical Erdős--Rényi Graph
– Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
(2020)
56,
2745
(doi: 10.1214/20-AIHP1057)
A comparison principle for random walk on dynamical percolation
– The Annals of Probability
(2020)
48,
2952
(doi: 10.1214/20-aop1441)
Chen–Stein method for the uncovered set of random walk on $\mathbb {Z}_{n}^{d}$ for $d \ge 3$
– Electronic Communications in Probability
(2020)
25,
1
(doi: 10.1214/20-ecp331)
Mixing time for random walk on supercritical dynamical percolation
– Probability Theory and Related Fields
(2019)
176,
809
(doi: 10.1007/s00440-019-00927-z)
Capacity of the range of random walk on $\mathbb{Z}^{4}$
– Annals of Probability
(2019)
47,
1447
(doi: 10.1214/18-aop1288)
Strong law of large numbers for the capacity of the Wiener sausage in dimension four
– Probability Theory and Related Fields
(2019)
173,
813
(doi: 10.1007/s00440-018-0842-0)
Sensitivity of Mixing Times in Eulerian Digraphs
– SIAM Journal on Discrete Mathematics
(2018)
32,
624
(doi: 10.1137/16M1073376)
Intersection and mixing times for reversible chains
– Electronic Journal of Probability
(2017)
22,
ARTN 12
(doi: 10.1214/16-ejp18)
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