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arXiv · 1307.6433

Large deviation principles of one-dimensional maps for H\"{o}lder continuous potentials

Huaibin Li
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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.

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Huaibin Li. 2013-07-24. Large deviation principles of one-dimensional maps for H\"{o}lder continuous potentials. https://doi.org/10.1017/etds.2014.55

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