most citedExcited random walk against a wall

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

collaborators
Showing math.PRShow all

3 papers · 1 filter

math.PR2005★ 2 cited

Excited random walk against a wall

Gideon Amir, Itai Benjamini, Gady Kozma

We analyze random walk in the upper half of a three dimensional lattice which goes down whenever it encounters a new vertex, a.k.a. excited random walk. We show that it is recurren…

math.PR2005

Percolation, Perimetry, Planarity

Gady Kozma

Let G be a planar graph with polynomial growth and isoperimetric dimension bigger than 1. Then the critical p for Bernoulli percolation on G satisfies p<1.

math.PR2005★ 1 cited

The scaling limit of loop-erased random walk in three dimensions

Gady Kozma

We show that the scaling limit exists and is invariant to dilations and rotations. We give some tools that might be useful to show universality.