A characterization of zero entropy loosely Bernoulli flows via FK-pseudometric
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.
Authors
- Alexandre Trilles (ORCID: https://orcid.org/0009-0002-5399-0688)
Institutions
- Jagiellonian University (PL)
Publication Details
- Journal
- Proceedings of the American Mathematical Society
- Published
- 2024-12-03
- DOI
- https://doi.org/10.1090/proc/17120
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 0.00