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熵可扩映射的压 被引量:1

Pressure of Entropy-expansive Mappings
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摘要 对紧致度量空间上的熵可扩映射的压进行了研究.利用对生成集基数的估计得到了拓扑压和测度压的简化计算公式. The pressure of the entropy-expansive mappings on the compact metric space is discussed.By estimating the cardinal of the spanning set,the simpler formulas of calculation of topological pressure and meacure-theoretic pressure is given.
出处 《河北师范大学学报(自然科学版)》 CAS 北大核心 2005年第2期109-112,共4页 Journal of Hebei Normal University:Natural Science
基金 国家自然科学基金资助项目(10371030)
关键词 可扩映射 紧致度量空间 生成集 拓扑压 基数 估计 公式 测度 topological pressure measure-theoreric pressure entropy-expansive mapping spanning set
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参考文献6

  • 1RULLE D.Statistical mechanics on a compact set with Zv action satisfying expansiveness and specification [J].Trans Amer Soc,1973,185:237-251.
  • 2WALTERS P.An Introduction to Ergodic Theory [M].New York:Springer-verlag,1982.
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  • 6LianFaHE,JinFengLV,LiNaZHOU.Definition of Measure-theoretic Pressure Using Spanning Sets[J].Acta Mathematica Sinica,English Series,2004,20(4):709-718. 被引量:7

二级参考文献6

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共引文献6

同被引文献6

  • 1WALTERS P.An Introduction to Ergodic Theory [M].New York:Springer-verlag,1982.
  • 2KATOK A,HASSELBLATT B.Introduction to the Modern Theory of Dynamical Systems [M].London:Cambridge University Press,1995.
  • 3BOWEN R.Entropy-expansive maps [J].Trans Amer Math Soc,1972,164:323-331.
  • 4THOMAS R F.Entropy of expansive flows [J].Ergo Theo Dyn Syst,1987,(7):611-625.
  • 5BOWEN R.Entropy for group endomorphisms and homogenuous spaces [J].Trans Amer Math Soc,1971,153:401-414.
  • 6BOWEN R,RUELLE D.The ergodic theory of axiom a flows [J].Invent Math,1975,29(3):181-202.

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