60 citations · 271 across the 21 of their papers we have counts for
Showing 2006 · math.PRShow all
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math.PR2006
Hitting time of large subsets of the hypercube
Jiri Cerny, Veronique Gayrard
We study the simple random walk on the -dimensional hypercube, in particular its hitting times of large (possibly random) sets. We give simple conditions on these sets ensuring…
math.PR2006★ 60 cited
Dynamics of trap models
Gerard Ben Arous, Jiri Cerny
These notes cover one of the topics of the class given in the Les Houches Summer School ``Mathematical statistical physics'' in July 2005. The lectures tried to give a summary of t…
math.PR2006★ 5 cited
The arcsine law as a universal aging scheme for trap models
Gerard Ben Arous, Jiri Cerny
We give a general proof of aging for trap models using the arcsine law for stable subordinators. This proof is based on abstract conditions on the potential theory of the underlyin…