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math.PR2026
Phase transition for the asymptotic entropy of branching random walks on groups
Jeremie Brieussel, Robin Kaiser, Martin Klötzer +1
We consider supercritical branching random walks (BRW) on countable groups and we prove that the asymptotic entropy of the empirical distributions of the BRW has a phase transi…
math.PR2026
Concentration inequalities for maximal displacement of random walks on groups of polynomial growth
Jérémie Brieussel, Romain Tessera, Tianyi Zheng
We prove Gaussian concentration inequalities for maximal displacement of compactly supported random walks on a compactly generated locally compact group with polynomial growth. Con…