Open AccessA Note on Variational Principle of Subsets for Nonautonomous Dynamical Systems
Author(s) -
Yang Jiao
Publication year - 2021
Language(s) - English
DOI - 10.47260/tma/1131
Subject(s) - mathematics , measure (data warehouse) , probability measure , topological entropy , dynamical systems theory , variational principle , entropy (arrow of time) , pure mathematics , borel measure , statistical physics , discrete mathematics , mathematical analysis , computer science , physics , quantum mechanics , database
In this paper, we introduce measure-theoretic for Borel probability measures to characterize upper and lower Katok measure-theoretic entropies in discrete type and the measure-theoretic entropy for arbitrary Borel probability measure in nonautonomous case. Then we establish new variational principles for Bowen topological entropy for nonautonomous dynamical systems.JEL classification numbers: 37A35.Keywords: Nonautonomous, Measure-theoretical entropies, Variational principles.