Feldman-Katok pseudo-orbits and topological pressure

2023/05/06 by fangzhou, Cai
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2305.04057

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 \citepse2.

Related

• Induced Topological Pressure for Dynamical Systems
• Variational relations of topological pressure for nonautonomous dynamical systems
• Point-to-set principles in dynamical systems
• Different Statistical Behaviors of Orbits
• Computability of topological pressure on compact shift spaces beyond finite type