Fixed Price of Groups and Percolation

Details Fixed Price of Groups and Percolation Fixed Price of Groups and Percolation

2011-09-25

arxiv.org/abs/1109.5418v1

Mathematics

Dynamical Systems

3 pp

Scientific paper

We prove that for every finitely generated group $\Gamma$, at least one of
the following holds: (1) $\Gamma$ has fixed price; (2) each of its Cayley
graphs $G$ has infinitely many infinite clusters for some Bernoulli percolation
on $G$.

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