123 citations · 651 across the 93 of their papers we have counts for
5 papers · 2 filters
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…
One-dimensional long-range diffusion-limited aggregation I
Gideon Amir, Omer Angel, Itai Benjamini +1
We examine diffusion-limited aggregation generated by a random walk on Z with long jumps. We derive upper and lower bounds on the growth rate of the aggregate as a function of the…
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…
The triangle and the open triangle
Gady Kozma
We show that for percolation on any transitive graph, the triangle condition implies the open triangle condition.
Entropy of Random Walk Range
Itai Benjamini, Gady Kozma, Ariel Yadin +1
We study the entropy of the set traced by an -step random walk on . We show that for , the entropy is of order . For , the entropy is of order $n/\log^…