Professor of Probability
Research Interests: Random walks, Brownian motion, mixing times of Markov chains, Poisson Brownian motions, rearrangement inequalities.
Publications
Capacity of the range of random walk on $\mathbb{Z}^{4}$
– The 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)
Martingale defocusing and transience of a self-interacting random walk
– Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
(2016)
52,
1009
(doi: 10.1214/14-aihp667)
Uniformity of the late points of random walk on ${\mathbb {Z}}_{n}^{d}$ Z n d for $d \ge 3$ d ≥ 3
– Probability Theory and Related Fields
(2016)
167,
1001
(doi: 10.1007/s00440-016-0697-1)
Total variation cutoff in a tree
– Annales de la Faculté des sciences de Toulouse : Mathématiques
(2016)
24,
763
(doi: 10.5802/afst.1463)
Random walks colliding before getting trapped
– Electronic Journal of Probability
(2016)
21,
(doi: 10.1214/16-ejp4414)
Dimension of fractional Brownian motion with variable drift
– Probability Theory and Related Fields
(2015)
165,
771
(doi: 10.1007/s00440-015-0645-5)
Minkowski dimension of Brownian motion with drift
– Journal of Fractal Geometry Mathematics of Fractals and Related Topics
(2014)
1,
153
(doi: 10.4171/jfg/4)
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