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arXiv · 1912.11445

Smooth mixing transformations with loosely Bernoulli cartesian product

Frank Trujillo
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Abstract

A zero-entropy system is said to be loosely Bernoulli if it can be induced from an irrational rotation of the circle. We provide a criterion for zero-entropy systems to be loosely Bernoulli that is compatible with mixing. Using these criteria, we show the existence of smooth mixing zero-entropy loosely Bernoulli transformations whose cartesian product with themselves is loosely Bernoulli.

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Frank Trujillo. 2019-12-24. Smooth mixing transformations with loosely Bernoulli cartesian product. https://arxiv.org/abs/1912.11445

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