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20022026
most citedThe Alexander-Orbach conjecture holds in high dimensions

123 citations · 651 across the 93 of their papers we have counts for

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67 papers · 1 filter

math.PR2026

Universality of cutoff for the Exclusion Process

Jonathan Hermon, Gady Kozma, Justin Salez

Under a fairly general condition on the underlying jump rates, we prove that the Exclusion Process with fixed particle density exhibits cutoff at time $t_{mix}\sim \frac{1}{2}{t}_{…

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.

math.PR2024

A reduction of the problem to a conjectured inequality

Gady Kozma, Shahaf Nitzan

We conjecture a new correlation-like inequality for percolation probabilities and support our conjecture with numerical evidence and a few special cases which we prove. This inequa…

math.PR2023

Vertex-removal stability and the least positive value of harmonic measures

Zhenhao Cai, Gady Kozma, Eviatar B. Procaccia +1

We prove that for (), the vertex-removal stability of harmonic measures (i.e. it is feasible to remove some vertex while changing the harmonic measure by a b…

math.PR2021

Lower tails via relative entropy

Gady Kozma, Wojciech Samotij

We show that the naive mean-field approximation correctly predicts the leading term of the logarithmic lower tail probabilities for the number of copies of a given subgraph in $G(n…