Amir Dembo

most citedValleys and the maximum local time for random walk in random environment

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math.PR2005★ 1 cited

Valleys and the maximum local time for random walk in random environment

Amir Dembo, Nina Gantert, Yuval Peres +1

Let $ξ (n, x)$ be the local time at $x$ for a recurrent one-dimensional random walk in random environment after $n$ steps, and consider the maximum $ξ^{*} (n) = max_{x} ξ (n, x)$ . It is k…

math.PR2004★ 1 cited

Cugliandolo-Kurchan equations for dynamics of Spin-Glasses

Gerard Ben Arous, Amir Dembo, Alice Guionnet

We study the Langevin dynamics for the family of spherical $p$ -spin disordered mean-field models and prove that in the limit of system size $N$ approaching infinity, the empirical…