123 citations · 404 across the 40 of their papers we have counts for
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math.PR2009★ 1 cited
Arm exponents in high dimensional percolation
Gady Kozma, Asaf Nachmias
We study the probability that the origin is connected to the sphere of radius r (an arm event) in critical percolation in high dimensions, namely when the dimension d is large enou…
math.PR2009
A note about critical percolation on finite graphs
Gady Kozma, Asaf Nachmias
In this note we study the geometry of the largest component C_1 of critical percolation on a finite graph G which satisfies the finite triangle condition, defined by Borgs et al. T…
math.PR2009★ 4 cited
Is the critical percolation probability local?
Itai Benjamini, Asaf Nachmias, Yuval Peres
We show that the critical probability for percolation on a d-regular non-amenable graph of large girth is close to the critical probability for percolation on an infinite d-regular…