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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

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
Symmetric rearrangements around infinity with applications to Lévy processes
A Drewitz, P Sousi, R Sun
– Probability Theory and Related Fields
(2011)
158,
637
The Isolation Time of Poisson Brownian Motions
Y Peres, P Sousi, A Stauffer
– ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS
(2013)
10,
813
Mixing Times are Hitting Times of Large Sets
Y Peres, P Sousi
– Journal of Theoretical Probability
(2015)
28,
488
An isoperimetric inequality for the Wiener sausage
Y Peres, P Sousi
– Geometric and Functional Analysis
(2012)
22,
1000
Mobile geometric graphs: detection, coverage and percolation
Y Peres, A Sinclair, P Sousi, A Stauffer
– CoRR
(2013)
156,
273
Brownian motion with variable drift: 0-1 laws, hitting probabilities and Hausdorff dimension
Y Peres, P Sousi
– Mathematical Proceedings of the Cambridge Philosophical Society
(2012)
153,
215
Collisions of Random Walks
MT Barlow, Y Peres, P Sousi
– Annales de l Institut Henri Poincaré Probabilités et Statistiques
(2010)
48,
922
A Stochastic Epidemiological Model and a Deterministic Limit for BitTorrent-Like Peer-to-Peer File-Sharing Networks
G Kesidis, T Konstantopoulos, P Sousi
– Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
(2009)
5425,
26
Modeling file-sharing with BitTorrent-like incentives
G Kesidis, T Konstantopoulos, P Sousi
– 2007 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, VOL IV, PTS 1-3
(2007)
4,
iv-1333-iv-1336
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Room

D1.13

Telephone

01223 337944
01223 766536