5 citations · 5 across the 3 of their papers we have counts for
4 papers
Entropy inequalities and exponential decay of correlations for unique Gibbs measures on trees
Andrei Alpeev
In a recent paper by A. Backhausz, B. Gerencsér and V. Harangi, it was shown that factors of independent identically distributed random processes (IID) on trees obey certain geomet…
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…
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…
On Pinsker factors for Rokhlin entropy
Andrei Alpeev
In this paper we will prove that any dynamical system posess the unique maximal factor of zero Rokhlin entropy, so-called Pinsker factor. It is proven also, that if the system is e…