Smooth mixing transformations with loosely Bernoulli cartesian product
Dynamical Systems
2019-12-25 v1
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.
Keywords
Cite
@article{arxiv.1912.11445,
title = {Smooth mixing transformations with loosely Bernoulli cartesian product},
author = {Frank Trujillo},
journal= {arXiv preprint arXiv:1912.11445},
year = {2019}
}