Professor (Grade 11)
Research Interests: Random walks, Brownian motion, mixing times of Markov chains, Poisson Brownian motions, rearrangement inequalities.
Publications
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)
Hunter, Cauchy rabbit, and optimal Kakeya sets
– Transactions of the American Mathematical Society
(2014)
366,
5567
A permuted random walk exits faster
– ALEA : Latin American Journal of Probability and Mathematical Statistics
(2014)
11,
185
On recurrence and transience of self-interacting random walks
– Bulletin of the Brazilian Mathematical Society, New Series
(2013)
44,
841
(doi: 10.1007/s00574-013-0036-4)
Mixing Times are Hitting Times of Large Sets
– Journal of Theoretical Probability
(2013)
28,
1
(doi: 10.1007/s10959-013-0497-9)
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