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math.PR2015
Mixing time and eigenvalues of the abelian sandpile Markov chain
Daniel C. Jerison, Lionel Levine, John Pike
The abelian sandpile model defines a Markov chain whose states are integer-valued functions on the vertices of a simple connected graph . By viewing this chain as a (nonreversib…
math.PR2015
Poisson statistics of eigenvalues in the hierarchical Dyson model
Alexander Bendikov, Anton Braverman, John Pike
Let be a locally compact separable ultrametric space. Given a measure on and a function defined on the set of all balls we consider t…