On the tail pressure (Q519474)

Entropies, including topological entropy and measure-theoretic entropy, are measurements of the complexity of the orbit structure of the system from different points of view. There is a well-known variational principle relating them. As a generalization of entropy, the concept of pressure was introduced by Ruelle and studied in the general case by Walters. In fact, the theory of pressure and its related topics are the main constituent components of the mathematical statistical mechanics. Similar to that for entropy, there is also a variational principle for pressure. Recently, tail entropy and tail pressure were introduced to describe the complexity of the system in a Bowen ball with arbitrarily small radius. In the paper under review, the author obtain a variational principle for the tail pressure via a combination of classical methods.