Work

A characterization of zero entropy loosely Bernoulli flows via FK-pseudometric

Year: 2024

Type: preprint

Abstract: We introduce the Feldman-Katok pseudometric (FK-pseudometric for short) for flows. We then provide a characterization of zero entropy loosely Bernoulli measures for continuous flows via the FK-pseudometric extending the result known for discrete-time dynamical systems. We also provide a purely topological characterization of uniquely ergodic continuous flows whose unique invariant measure is zero entropy loosely Bernoulli.

Source: Proceedings of the American Mathematical Society

DOI: 10.1090/proc/17120

Author: Alexandre Trilles

Institution: Jagiellonian University

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4404952763

Cites: 31

Cited by: 1

Related to: 10