Work

Notes on relative topological conditional entropy

Year: 2024

Type: article

Abstract: In order to provide a non-trivial sufficient condition for the existence of invariant measures with maximal relative measure-theoretic entropy, in [16] the concept of relative topological conditional entropy was introduced for any factor map between topological dynamical systems, and a Ledrappier's type variational principle concerning it was obtained and some basic properties were discussed. In this paper, following the ideas of Bowen in [2] and Misiurewicz in [13], we present a purely topological proof of some results from [16], where they were first proved in [16] via measure-theoretic methods. Furthermore, we will also explore some properties of relative topological conditional entropy.

Source: Discrete and Continuous Dynamical Systems - S

DOI: 10.3934/dcdss.2024168

Author: Lili Zhu

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4402646466

FWCI:

Cites: 12

Cited by:

Related to: 10