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math.DS2011★ 3 cited
Sofic dimension for discrete measured groupoids
Ken Dykema, David Kerr, Mikael Pichot
For discrete measured groupoids preserving a probability measure we introduce a notion of sofic dimension that measures the asymptotic growth of the number of sofic approximations…
math.DS2011★ 9 cited
Orbit equivalence and sofic approximation
Ken Dykema, David Kerr, Mikael Pichot
Given an ergodic probability measure preserving dynamical system $\G\acts (X,μ)$, where $\G$ is a finitely generated countable group, we show that the asymptotic growth of the numb…