# 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

Cutoff for Random Walk on Dynamical Erdős--Rényi Graph
P Sousi, S Thomas
– L'Institut Henri Poincare, Annales B: Probabilites et Statistiques
(2020)
56,
2745
Mixing time for random walk on supercritical dynamical percolation
Y Peres, P Sousi, J Steif
– Probability Theory and Related Fields
(2019)
176,
809
Capacity of the range of random walk on $\mathbb{Z}^{4}$
A Asselah, B Schapira, P Sousi
– Annals of Probability
(2019)
47,
1447
Strong law of large numbers for the capacity of the Wiener sausage in dimension four
A Asselah, B Schapira, P Sousi
– Probability Theory and Related Fields
(2019)
173,
813
Sensitivity of Mixing Times in Eulerian Digraphs
L Boczkowski, Y Peres, P Sousi
– SIAM Journal on Discrete Mathematics
(2018)
32,
624
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
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
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
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