Time change for flows and thermodynamic formalism

Abstract

This paper is devoted to the study of how thermodynamic formalism properties vary for time changes of suspension flows defined over countable Markov shifts. We prove that in general no property is preserved. We also make a topological description of the space of suspension flows according to certain thermodynamic features. For example, we show that the set of suspension flows defined over the full shift on a countable alphabet having finite entropy is open. Of independent interest might be a set of analytic tools we use to construct examples with prescribed thermodynamic behavior.