49 citations · 157 across the 8 of their papers we have counts for
12 papers · 1 filter
Random Walk in Dynamic Markovian Random Environment
Antar Bandyopadhyay, Ofer Zeitouni
We consider a model, introduced by Boldrighini, Minlos and Pellegrinotti, of random walks in dynamical random environments on the integer lattice Z^d with d>=1. In this model, the…
Shortest spanning trees and a counterexample for random walks in random environments
Maury Bramson, Ofer Zeitouni, Martin P. W. Zerner
We construct forests that span , , that are stationary and directed, and whose trees are infinite, but for which the subtrees attached to each vertex are as s…
A CLT for a band matrix model
Greg Anderson, Ofer Zeitouni
A law of large numbers and a central limit theorem are derived for linear statistics of random symmetric matrices whose on-or-above diagonal entries are independent, but neither ne…
Concentration of permanent estimators for certain large matrices
Shmuel Friedland, Brian Rider, Ofer Zeitouni
Let A_n=(a_{ij})_{i,j=1}^n be an n\times n positive matrix with entries in [a,b], 0<a\le b. Let X_n=(\sqrta_{ij}x_{ij})_{i,j=1}^n be a random matrix, where {x_{ij}} are i.i.d. N(0,…
Limit theorems for one-dimensional transient random walks in Markov environments
Eddy Mayer-Wolf, Alexander Roitershtein, Ofer Zeitouni
We obtain non-Gaussian limit laws for one-dimensional random walk in a random environment assuming that the environment is a function of a stationary Markov process. This is an ext…
Random walks in random environments
Ofer Zeitouni
Random walks in random environments (RWRE's) have been a source of surprising phenomena and challenging problems since they began to be studied in the 70's. Hitting times and, more…