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
– Journal of Theoretical Probability
(2013)
28,
488
(doi: 10.1007/s10959-013-0497-9)
Symmetric rearrangements around infinity with applications to L,vy processes
– Probability Theory and Related Fields
(2011)
158,
637
(doi: 10.1007/s00440-013-0492-1)
The Isolation Time of Poisson Brownian Motions
– ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS
(2011)
10,
813
An isoperimetric inequality for the Wiener sausage
– Geometric and Functional Analysis
(2011)
22,
1000
(doi: 10.1007/s00039-012-0184-5)
Mobile Geometric Graphs: Detection, Coverage and Percolation
– Proceedings of the Annual ACM SIAM Symposium on Discrete Algorithms
(2011)
abs/1008.0075,
273
(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 Poincare B Probability and Statistics
(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
– ICASSP IEEE International Conference on Acoustics Speech and Signal Processing Proceedings
(2007)
4,
1333
(doi: 10.1109/ICASSP.2007.367324)
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