123 citations · 651 across the 93 of their papers we have counts for
8 papers · 1 filter
Nonamenable Liouville Graphs
Itai Benjamini, Gady Kozma
Add to each level of binary tree edges to make the induced graph on the level a uniform expander. It is shown that such a graph admits no non-constant bounded harmonic functions.
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…
Exponential Riesz bases, discrepancy of irrational rotations and BMO
Gady Kozma, Nir Lev
We study the basis property of systems of exponentials with frequencies belonging to 'simple quasicrystals'. We show that a diophantine condition is necessary and sufficient for su…
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…
Singular distributions, dimension of support, and symmetry of Fourier transform
Gady Kozma, Alexander Olevskii
We study the "Fourier symmetry" of measures and distributions on the circle, in relation with the size of their supports. The main results of this paper are: (1) A one-side extensi…