20 citations · 21 across the 3 of their papers we have counts for
4 papers
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…
Multi-excited random walks on integers
Martin P. W. Zerner
We introduce a class of nearest-neighbor integer random walks in random and non-random media, which includes excited random walks considered in the literature. At each site the ran…
On the speed of a planar random walk avoiding its past convex hull
Martin P. W. Zerner
We consider a random walk in the plane which takes steps uniformly distributed on the unit circle centered around the walker's current position but avoids the convex hull of its pa…
Asymptotics of certain coagulation-fragmentation processes and invariant Poisson-Dirichlet measures
Eddy Mayer-Wolf, Ofer Zeitouni, Martin P. W. Zerner
We consider Markov chains on the space of (countable) partitions of the interval , obtained first by size biased sampling twice (allowing repetitions) and then merging the p…