123 citations · 651 across the 93 of their papers we have counts for
5 papers · 2 filters
A balanced excited random walk
Itai Benjamini, Gady Kozma, Bruno Schapira
The following random process on is studied. At first visit to a site, the two first coordinates perform a (2-dimensional) simple random walk step. At further visits, it is t…
The probability of long cycles in interchange processes
Gil Alon, Gady Kozma
We examine the number of cycles of length k in a permutation, as a function on the symmetric group. We write it explicitly as a combination of characters of irreducible representat…
I knew I should have taken that left turn at Albuquerque
Gady Kozma, Ariel Yadin
We study the Laplacian-infinity path as an extreme case of the Laplacian-alpha random walk. Although, in the finite alpha case, there is reason to believe that the process converge…
Percolation on a product of two trees
Gady Kozma
We show that critical percolation on a product of two regular trees of degree 3 satisfies the triangle condition. The proof does not examine the degrees of vertices and is no…
Ordering the representations of S_n using the interchange process
Gil Alon, Gady Kozma
Inspired by Aldous' conjecture for the spectral gap of the interchange process and its recent resolution by Caputo, Liggett and Richthammer, we define an associated order on the ir…