Andrei Alpeev: Entropy for shift-actions associated to Gibbs measures over sofic groups

Előadó: Andrei Alpeev

Cím: Entropy for shift-actions associated to Gibbs measures over sofic groups

Absztrakt: We will start with a discussion of shift-invariant Gibbs measures over sofic groups, namely we will prove the existence of such measures under rather mild assumptions. After that we will understand how to use the construction involved to compute the sofic entropy of the associated shift-action. Finally, we will apply this result to the case of Gibbs measures over free groups and show how Bowen's f-invariant can say something about phase transition over such groups.