123 citations · 651 across the 93 of their papers we have counts for
4 papers · 2 filters
Excited random walk in two dimensions has linear speed
Gady Kozma
Excited random walk is a process that has a drift to the right whenever it encounters a new vertex. The paper shows that in two dimensions it drifts to the right linearly in time.
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…
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.
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.