A. Dembo

activity

20012005

most citedLate points for random walks in two dimensions

42 citations · 45 across the 4 of their papers we have counts for

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Showing math.PRShow all

6 papers · 1 filter

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…

math.PR2003★ 1 cited

A large-deviation theorem for tree-indexed Markov chains

Amir Dembo, Peter Morters, Scott Sheffield

Given a finite typed rooted tree $T$ with $n$ vertices, the {\em empirical subtree measure} is the uniform measure on the $n$ typed subtrees of $T$ formed by taking all descendants…

math.PR2003★ 42 cited

Late points for random walks in two dimensions

Amir Dembo, Yuval Peres, Jay Rosen +1

Let $T_{n} (x)$ denote the time of first visit of a point $x$ on the lattice torus $Z_{n}^{2} = Z^{2} / n Z^{2}$ by the simple random walk. The size of the se…

math.PR2001

Cover Times for Brownian Motion and Random Walks in Two Dimensions

Amir Dembo, Yuval Peres, Jay Rosen +1

Let T(x,r) denote the first hitting time of the disc of radius r centered at x for Brownian motion on the two dimensional torus. We prove that sup_{x} T(x,r)/|log r|^2 --> 2/pi as…

math.PR2001

Thick points for intersections of planar sample paths

Amir Dembo, Yuval peres, Jay Rosen +1

Let $L_{n}^{X} (x)$ denote the number of visits to $x \in Z^{2}$ of the simple planar random walk $X$ , up till step $n$ . Let $X^{'}$ be another simple planar random walk independent…