Deviation Property of Periodic Measures in C^1 Non-uniformly Hyperbolic Systems with Limit Domination  

作　　者：Sheng QIAN Wen Xiang SUN Xue Ting TIAN 

机构地区：[1]Department of Mathematics,Peking University [2]Academy of Mathematics and Systems Science,Chinese Academy of Sciences

出　　处：《Acta Mathematica Sinica,English Series》2012年第9期1727-1740,共14页数学学报（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos. 10671006);supported by National Natural Science Foundation of China (Grant Nos. 10671006, 10831003);National Basic Research Program of China (973 Program, 2006CB805903);supported by CAPES (Brazil)

摘　　要：In a C1 non-uniformly hyperbolic systems with limit domination, we consider the periodic measures that supported on the Pesin set and keep a distance at least 6 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.In a C1 non-uniformly hyperbolic systems with limit domination, we consider the periodic measures that supported on the Pesin set and keep a distance at least 6 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.

关 键 词：Exponential growth rate generalized entropy large deviation limit domination Pesin set 

分 类 号：O186.11[理学—数学]