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

Published online by Cambridge University Press:  04 August 2014

HUAIBIN LI
HUAIBIN LI*
Affiliation:
School of Mathematics and Information Science, Henan University, Kaifeng 475004, PR China email matlihb@gmail.com
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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 36 , Issue 1 , February 2016 , pp. 127 - 141
Copyright
© Cambridge University Press, 2014 

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