79 citations · 239 across the 24 of their papers we have counts for
Showing 2006Show all
3 papers · 1 filter
math.PR2006★ 1 cited
A new REM conjecture
Gerard Ben Arous, Veronique Gayrard, Alexey Kuptsov
We introduce here a new universality conjecture for levels of random Hamiltonians, in the same spirit as the local REM conjecture made by S. Mertens and H. Bauke. We establish our…
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★ 2 cited
Elementary potential theory on the hypercube
Gerard Ben Arous, Veronique Gayrard
This work addresses potential theoretic questions for the standard nearest neighbor random walk on the hypercube . For a large class of subsets w…