On the one-way specification property and large deviations for non-transitive systems
Dynamical Systems
2016-11-16 v2
Abstract
We introduce a weaker form of the specification property, called "one-way specification property", and give several examples of non-transitive systems satisfying this property. As an application, we show that the -transformation satisfies a level-2 large deviation principle with the Lebesgue measure and the rate function is the free energy under the condition that is a Yrrap number, that is, the orbit of under the -transformation is eventually periodic.
Keywords
Cite
@article{arxiv.1611.03978,
title = {On the one-way specification property and large deviations for non-transitive systems},
author = {Kenichiro Yamamoto},
journal= {arXiv preprint arXiv:1611.03978},
year = {2016}
}