Photo from academic.microsoft.com
Thermodynamic formalism, the theory of equilibrium states, is studied both in dynamical systems and probability theory. Various closely related notions have been developed: e.g. Dobrushin–Lanford–Ruelle Gibbs, Bowen–Gibbs and $g$ -measures.… Click to show full abstract
Thermodynamic formalism, the theory of equilibrium states, is studied both in dynamical systems and probability theory. Various closely related notions have been developed: e.g. Dobrushin–Lanford–Ruelle Gibbs, Bowen–Gibbs and $g$ -measures. We discuss the relation between Gibbs and $g$ -measures in a one-dimensional context. Often $g$ -measures are also Gibbs, but recently an example to the contrary has been presented. In this paper we discuss exactly when a $g$ -measure is Gibbs and how this relates to notions such as uniqueness and reversibility of $g$ -measures.
Journal Title: Ergodic Theory and Dynamical Systems
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!