Limiting Gibbs measures for the lattice systems with hard constraints on their configurations (обсуждение докторской диссертации)

The present talk devoted to the main results of the dissertation, where we have studied several lattice systems with hard constraints on their configurations and the Potts model on Cayley trees. For these models we discuss the structure of the set of translation invariant and some periodic Gibbs measures. Moreover, some conditions (on the temperature) of (non) extremality of these measures will be given.