Professor of Probability
Research Interests: Random walks, Brownian motion, mixing times of Markov chains, Poisson Brownian motions, rearrangement inequalities.
Publications
Dimension of fractional Brownian motion with variable drift
– Probability Theory and Related Fields
(2015)
165,
771
(doi: 10.1007/s00440-015-0645-5)
Minkowski dimension of Brownian motion with drift
– Journal of Fractal Geometry, Mathematics of Fractals and Related Topics
(2014)
1,
153
(doi: 10.4171/jfg/4)
Hunter, Cauchy rabbit, and optimal Kakeya sets
– Transactions of the American Mathematical Society
(2014)
366,
5567
A permuted random walk exits faster
– ALEA : Latin American Journal of Probability and Mathematical Statistics
(2014)
11,
185
On recurrence and transience of self-interacting random walks
– Bulletin of the Brazilian Mathematical Society, New Series
(2013)
44,
841
(doi: 10.1007/s00574-013-0036-4)
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
– Probability Theory and Related Fields
(2011)
abs/1008.0075,
412
(doi: 10.1007/s00440-012-0428-1)
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