4 papers
math.CO2026
The number of tiles of
Itai Benjamini, Gady Kozma, Elad Tzalik
It is proved that the number of subsets of that tile is .
math.PR2026
Once-reinforced random walk in high dimensions
Dor Elboim, Gady Kozma
We study the once-reinforced random walk on , which is a self-interacting walk that has a higher probability to cross edges that were already visited. We prove that th…
math.GR2025
On the Aldous-Caputo Spectral Gap Conjecture for Hypergraphs
Gil Alon, Gady Kozma, Doron Puder
In their celebrated paper (arXiv:0906.1238), Caputo, Liggett and Richthammer proved Aldous' conjecture and showed that for an arbitrary finite graph, the spectral gap of the interc…
math.PR2024
Coupled but distant
Itai Benjamini, Gady Kozma
We construct a coupling of two random walks in 4 dimensions so that their traces do not intersect with positive probability.