[1]王培.几乎可加函数序列的Gibbs测度的存在性[J].南京师范大学学报(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()
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《南京师范大学学报》(自然科学版)[ISSN:1001-4616/CN:32-1239/N]

卷:
第35卷
期数:
2012年03期
页码:
17-24
栏目:
数学
出版日期:
2012-09-20

文章信息/Info

Title:
The Existence of the Gibbs Measure for an Almost-Additive Sequence of Functions
作者:
王培;
南京大学金陵学院基础部,江苏南京210089
Author(s):
Wang Pei
Basic Department,Nanjing University Jinling College,Nanjing 210089,China
关键词:
Gibbs 测度几乎可加函数序列
Keywords:
Gibbs measurean almost-additive sequence of functions
分类号:
O19
摘要:
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:
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:

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[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.
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[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:
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