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Faculty of Mathematics

 

 

Professor of Probability
Research Interests: Random walks, Brownian motion, mixing times of Markov chains, Poisson Brownian motions, rearrangement inequalities.

 

Publications

Mixing Times are Hitting Times of Large Sets
Y Peres, P Sousi
– Journal of Theoretical Probability
(2013)
28,
488
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
(2011)
10,
813
An isoperimetric inequality for the Wiener sausage
Y Peres, P Sousi
– Geometric and Functional Analysis
(2011)
22,
1000
Mobile Geometric Graphs: Detection, Coverage and Percolation
Y Peres, A Sinclair, P Sousi, A Stauffer
– Probability Theory and Related Fields
(2011)
abs/1008.0075,
412
Brownian motion with variable drift: 0-1 laws, hitting probabilities and Hausdorff dimension
Y Peres, P Sousi
– Mathematical Proceedings of the Cambridge Philosophical Society
(2010)
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 LNCS,
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,
1333
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Research Group

Statistical Laboratory

Room

D1.13

Telephone

01223 337944