Effective uniqueness of Parry measure and exceptional sets in ergodic theory
Dynamical Systems
2014-09-04 v1 Number Theory
Abstract
It is known that hyperbolic dynamical systems admit a unique invariant probability measure with maximal entropy. We prove an effective version of this statement and use it to estimate an upper bound for Hausdorff dimension of exceptional sets arising from dynamics.
Keywords
Cite
@article{arxiv.1409.0946,
title = {Effective uniqueness of Parry measure and exceptional sets in ergodic theory},
author = {Shirali Kadyrov},
journal= {arXiv preprint arXiv:1409.0946},
year = {2014}
}