Feldman-Katok pseudo-orbits and topological pressure

Abstract

In this paper we introduce the notion of Feldman-Katok pseudo-orbits and use it to study topological pressure. We prove that the topological pressure of a dynamical system can be computed by measuring the Feldman-Katok pseudo-orbits complexity of the shift map on the potential function, which extends Barge and Swanson's result on entropy and pseudo-orbits \cite{pse2}.