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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.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.