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Definition of Measure-theoretic Pressure Using Spanning Sets

作者:LianFaHE; JinFengLV; LiNaZHOU精确度生成集连续映射有限测度泛函分析

摘要:We introduce a new definition of measure-theoretic pressure for ergodic measures of continuous maps on a compact metric space. This definition is similar to those of topological pressure involving spanning sets. As an application, for C^1+α(α > O) diffeomorphisms of a compact manifold,we study the relationship between the measure-theoretic pressure and the periodic points.

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数学学报

《数学学报》(CN:11-2038/O1)是一本有较高学术价值的大型双月刊,自创刊以来,选题新奇而不失报道广度,服务大众而不失理论高度。颇受业界和广大读者的关注和好评。

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