5 citations · 5 across the 3 of their papers we have counts for
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math.DS2017
Weak containment and maximal sofic approximations
Andrei Alpeev
We show that the class of sofic actions is closed under direct products and contains a (non-unique) maximal element in the weak containment order. For any sofic group we construct…
math.DS2017★ 5 cited
Random ordering formula for sofic and Rokhlin entropy of Gibbs measures
Andrei Alpeev
We prove the explicit formula for sofic and Rokhlin entropy of actions arising from some class of Gibbs measures. It provides a new set of examples with sofic entropy independent o…