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math.PR2025
The CLT for lamplighter groups with an acylindrically hyperbolic base
Maksym Chaudkhari, Christian Gorski, Eduardo Silva
We prove a Central Limit Theorem for the drift of a non-elementary random walk with a finite exponential moment on a wreath product with a non…
math.PR2025
Chemical distance in graphs of polynomial growth
Christian Gorski, Eviatar B. Procaccia
We prove an Antal-Pisztora type theorem for transitive graphs of polynomial growth. That is, we show that if is a transitive graph of polynomial growth and , then f…
math.PR2021
Asymptotic shapes for stationary first passage percolation on virtually nilpotent groups
Antonio Auffinger, Christian Gorski
We study first passage percolation (FPP) with stationary edge weights on Cayley graphs of finitely generated virtually nilpotent groups. Previous works of Benjamini-Tessera and Can…