Professor of Probability
Research Interests: Random walks, Brownian motion, mixing times of Markov chains, Poisson Brownian motions, rearrangement inequalities.
Publications
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,
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, Vol IV, Pts 1-3
(2007)
4,
1333
(doi: 10.1109/ICASSP.2007.367324)
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