Specification and equilibrium in compact and non-compact world

时   间：  2023-04-12 14:00 — 15:00

In this talk, we will discuss how specification property, which is a topological property on global concatenation of arbitrary orbit segments, can help us in studying thermodynamic formalism of a variety of dynamical systems. The line of the research targets extends from compact and Markov classic systems and reaches those lack of nice and uniform dynamical properties in the non-compact world. The content is based on a sequence of classic work initiating from 1960s, further developments summarized in a survey [Beyond Bowen's specification property, Clinmenhaga&Thompson 2020] and a recent joint work with C&T.