40 citations · 95 across the 19 of their papers we have counts for
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math.GR2012★ 2 cited
Small spectral radius and percolation constants on non-amenable Cayley graphs
Kate Juschenko, Tatiana Nagnibeda
Motivated by the Benjamini-Schramm non-unicity of percolation conjecture we study the following question. For a given finitely generated non-amenable group , does there exist a…
math.GR2012★ 4 cited
Cantor systems, piecewise translations and simple amenable groups
Kate Juschenko, Nicolas Monod
We provide the first examples of finitely generated simple groups that are amenable (and infinite). This follows from a general existence result on invariant states for piecewise-t…