[1]王培.几乎可加函数序列的Gibbs测度的存在性[J].南京师大学报(自然科学版),2012,35(03):17-24.
Wang Pei.The Existence of the Gibbs Measure for an Almost-Additive Sequence of Functions[J].Journal of Nanjing Normal University(Natural Science Edition),2012,35(03):17-24.
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几乎可加函数序列的Gibbs测度的存在性()
《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]
- 卷:
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第35卷
- 期数:
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2012年03期
- 页码:
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17-24
- 栏目:
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数学
- 出版日期:
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2012-09-20
文章信息/Info
- Title:
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The Existence of the Gibbs Measure for an Almost-Additive Sequence of Functions
- 作者:
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王培;
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南京大学金陵学院基础部,江苏南京210089
- Author(s):
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Wang Pei
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Basic Department,Nanjing University Jinling College,Nanjing 210089,China
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- 关键词:
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Gibbs 测度; 几乎可加函数序列
- Keywords:
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Gibbs measure; an almost-additive sequence of functions
- 分类号:
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O19
- 摘要:
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本文研究了动力系统中热力学机制中的重要内容——Gibbs测度的存在性,我们得到了关于几乎可加函数序列的Gibbs测度的存在性.
- Abstract:
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In this paper,we study the important contents in thermodynamic formalism of dynamical systems———the existence of Gibbs measure,we investigate the existence of the Gibbs measure for an almost-additive sequence of functions.
参考文献/References:
[1] Barrieira L. Nonadditive thermodynamic formalism: equlibrium and Gibbs measures[J]. Discrete Contin Dyn Syst,2006, 16 ( 2) : 279-305.
[2] Mummert A. The thermodynamic formalism for almost-additive sequences[J]. Discrete Contin Dyn Syst,2006, 16( 2) : 435- 454.
[3] Bowen R. Equlibrium States and the Ergodic Theory of Anosov Diffeomorphisms[M]. New York: Springer-Verlag,1975.
[4] Falconer K J. A subadditive thermodynamic formalism for mixing repellers[J]. J Phys A,1988, 21: L737-L742.
[5] Haydn N T A,Ruelle D. Equivalence of Gibbs and equlibrium states for homeomorphisms satisfying expansiveness and specification [J]. Commun Math Phys,1992, 148: 155-167.
[6] 张筑生. 微分动力系统原理[M]. 北京: 科学出版社,2003.
[7] Walters P. An Introduction to Ergodic Theory[M]. New York,Berlin,Heidelberg: Springer,1981.
[8] Katok A,Hasselblatt B. Introduction to the Modern Theroy of Dynamical Systems[M]. Cambridge: Cambridge University Press,1995.
[9] Takens F,Verbitskiy E. Multifractal analysis of local entropies for expansive homeomorphisms with specification[J]. Commun Math Phys,1999, 203: 593-612.
备注/Memo
- 备注/Memo:
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通讯联系人: 王培,硕士,研究方向: 拓扑动力系统. E-mail: wangpei408@163. com
更新日期/Last Update:
2013-03-11