Thermodynamic formalism for some systems with countable Markov structures

2016/01/22 by Jakobson, Michael
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1601.06013

Abstract

We study ergodic properties of certain piecewise smooth two-dimensional systems by constructing countable Markov partitions. Using thermodynamic formalism we prove exponential decay of correleations.

Related

• Countable Markov Partitions Suitable for Thermodynamic Formalism
• A path method for non-exponential ergodicity of Markov chains and its application for chemical reaction systems
• Markov Renewal Theory for Transfer Operators and Point Processes on the Line
• Markov extensions, zeta functions, and Fredholm theory for piecewise invertible dynamical systems
• Some simple but challenging Markov processes