Professor of Probability
Research Interests: Random walks, Brownian motion, mixing times of Markov chains, Poisson Brownian motions, rearrangement inequalities.
Publications
Mobile geometric graphs: detection, coverage and percolation
– Probability Theory and Related Fields
(2011)
156,
412
(doi: 10.1007/s00440-012-0428-1)
Brownian motion with variable drift: 0-1 laws, hitting probabilities and
Hausdorff dimension
– Mathematical Proceedings of the Cambridge Philosophical Society
(2010)
153,
215
(doi: 10.1017/S0305004112000217)
Collisions of random walks
– Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
(2010)
48,
922
(doi: 10.1214/12-AIHP481)
A Stochastic Epidemiological Model and a Deterministic Limit for BitTorrent-Like Peer-to-Peer File-Sharing Networks
– Lecture Notes in Computer Science
(2009)
5425 LNCS,
26
(doi: 10.1007/978-3-642-00393-6_4)
Modeling file-sharing with BitTorrent-like incentives
– 2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07
(2007)
4,
iv-1333-iv-1336
(doi: 10.1109/icassp.2007.367324)
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