Deviation property of periodic measures in C 1 non-uniformly hyperbolic systems with limit domination

Authors
Qian, Sheng Sun, Wen Xiang Tian, Xue Ting
Citation
Qian, Sheng et al., Deviation property of periodic measures in C 1 non-uniformly hyperbolic systems with limit domination, Acta mathematica Sinica. English series (Print) , 28(9), 2012, pp. 1727-1740
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
28
Issue
9
Year of publication
2012
Pages
1727 - 1740
Database
ACNP
SICI code
Abstract
In a C 1 non-uniformly hyperbolic systems with limit domination, we consider the periodic measures that supported on the Pesin set and keep a distance at least . to a hyperbolic ergodic measure µ given before. And then, we bound from top the exponential growth rate of such periodic measures by the supremum of measure theoretic entropy on a closed set.