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

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 delta to a hyperbolic ergodic measure mu 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.http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000307427100001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701Mathematics, AppliedMathematicsSCI(E)中国科技核心期刊(ISTIC)中国科学引文数据库(CSCD)1ARTICLE91727-17402