22 citations · 54 across the 11 of their papers we have counts for
Showing 2005 · math.PRShow all
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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.