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arXiv:1307.6433 [math.DS]AbstractReferencesReviewsResources

Large deviation principles of one-dimensional maps for Hölder continuous potentials

Huaibin Li

Published 2013-07-24, updated 2013-08-19Version 2

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.

Comments: arXiv admin note: text overlap with arXiv:1210.0521
Categories: math.DS
Subjects: 37E05, 37F10, 37D35, 60F10
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