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Questions about the branch of algebra that deals with groups.

3 votes

The critical value of percolation on Cayley graphs.

In a paper called Critical Percolation on any Nonamenable Group Has no Infinite Clusters, Benjamini, Lyons, Peres, and Schramm show that ... critical percolation on any nonamenable group has no infini …
Louigi Addario-Berry's user avatar
3 votes
Accepted

Number of Geodesic Paths Passing Through a Vertex in an Expander Graph

My short answer: I think not much is known. But: here is the state of the art on related problems, as far as I am aware. Aldous and Bhamidi consider the following model. Place independent exponentia …
Louigi Addario-Berry's user avatar