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math.GR2014★ 2 cited
Non-Liouville groups with return probability exponent at most 1/2
Michał Kotowski, Bálint Virág
We construct a finitely generated group without the Liouville property such that the return probability of a random walk satisfies . Re…
math.GR2013★ 6 cited
The Liouville property for groups acting on rooted trees
Gideon Amir, Omer Angel, Nicolás Matte Bon +1
We show that on groups generated by bounded activity automata, every symmetric, finitely supported probability measure has the Liouville property. More generally we show this for e…