Large deviation principles of one-dimensional maps for H\"{o}lder continuous potentials
Dynamical Systems
2015-12-30 v2
Abstract
We show some level-2 large deviation principles for real and complex one-dimensional maps satisfying a weak form of hyperbolicity. More precisely, we prove a large deviation principle for the distribution of iterated preimages, periodic points, and Birkhoff averages.
Cite
@article{arxiv.1307.6433,
title = {Large deviation principles of one-dimensional maps for H\"{o}lder continuous potentials},
author = {Huaibin Li},
journal= {arXiv preprint arXiv:1307.6433},
year = {2015}
}
Comments
arXiv admin note: text overlap with arXiv:1210.0521