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arXiv · 2404.03559

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

Alexandre Trilles
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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.

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Alexandre Trilles. 2024-04-04. A characterization of zero entropy loosely Bernoulli flows via FK-pseudometric. https://doi.org/10.1090/proc/17120

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