243 citations · 1.7k across the 42 of their papers we have counts for
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math.PR2012★ 3 cited
Speed exponents of random walks on groups
Gideon Amir, Balint Virag
For every 3/4 <= beta < 1 we construct a finitely generated group so that the expected distance of the simple random walk from its starting point is within a constant factor of n^b…
math.GR2012★ 140 cited
Kesten's theorem for Invariant Random Subgroups
Miklos Abert, Yair Glasner, Balint Virag
An invariant random subgroup of the countable group Γ is a random subgroup of Γ whose distribution is invariant under conjugation by all elements of Γ. We prove that for a nonamena…