Local sequence entropy of dynamical systems

نویسندگان

1 Department of Mathematics, Jundi-Shapur University of Technology, Dezful, Iran

doi
10.22091/maa.2024.10505.1016
چکیده

In this paper, we present a local approach to sequence entropy of compact dynamical systems. We show that, given any continuous map on a compact metric space with finitely many ergodic measures and any increasing sequence of natural numbers, there is a local sequence entropy map, in the sense that, its integral with respect to any invariant measure results in the corresponding sequence entropy.