# Department of Pure Mathematics and Mathematical Statistics

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
Y Peres, B Schapira, P Sousi
– Annales de l Institut Henri Poincaré Probabilités et Statistiques
(2016)
52,
1009
Uniformity of the late points of random walk on ${\mathbb {Z}}_{n}^{d}$ Z n d for $d \ge 3$ d ≥ 3
J Miller, P Sousi
– Probability Theory and Related Fields
(2016)
167,
1001
Total variation cutoff in a tree
Y Peres, P Sousi
– Annales de la faculté des sciences de Toulouse Mathématiques
(2016)
24,
763
Random walks colliding before getting trapped
L Addario-Berry, RI Oliveira, Y Peres, P Sousi
– Electronic Journal of Probability
(2016)
21,
Dimension of fractional Brownian motion with variable drift
Y Peres, P Sousi
– Probability Theory and Related Fields
(2015)
165,
771
Hunter, Cauchy rabbit, and optimal Kakeya sets
Y Babichenko, Y Peres, R Peretz, P Sousi, P Winkler
– Transactions of the American Mathematical Society
(2014)
366,
5567
A permuted random walk exits faster
R Pymar, P Sousi
– ALEA : Latin American Journal of Probability and Mathematical Statistics
(2014)
11,
185
Minkowski dimension of Brownian motion with drift
P Charmoy, Y Peres, P Sousi
– Journal of Fractal Geometry
(2014)
1,
153
(DOI: 10.4171/jfg/4)
On recurrence and transience of self-interacting random walks
Y Peres, S Popov, P Sousi
– Bulletin of the Brazilian Mathematical Society, New Series
(2013)
44,
841
Mixing Times are Hitting Times of Large Sets
Y Peres, P Sousi
– Journal of Theoretical Probability
(2013)
28,
488
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01223 337944