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Department of Pure Mathematics and Mathematical Statistics

University Lecturer
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 $\mathbb{Z}^{4}$
A Asselah, B Schapira, P Sousi
– The Annals of Probability
(2019)
47,
1447
Sensitivity of Mixing Times in Eulerian Digraphs
L Boczkowski, Y Peres, P Sousi
– SIAM Journal on Discrete Mathematics
(2018)
32,
624
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
(2017)
167,
1001
Intersection and mixing times for reversible chains
Y Peres, T Sauerwald, P Sousi, A Stauffer
– Electronic Journal of Probability
(2017)
22,
ARTN 12
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
Dimension of fractional Brownian motion with variable drift
Y Peres, P Sousi
– Probability Theory and Related Fields
(2016)
165,
771
Random walks colliding before getting trapped
L Addario-Berry, RI Oliveira, Y Peres, P Sousi
– Electronic Journal of Probability
(2016)
21,
Total variation cutoff in a tree
Y Peres, P Sousi
– Annales de la faculté des sciences de Toulouse Mathématiques
(2015)
24,
763
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
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)
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Room

D1.13

Telephone

01223 337944
01223 766536