Large Deviations and a Fluctuation Symmetry for Chaotic Homeomorphisms

被引：0
|
作者：
Christian Maes
Evgeny Verbitskiy
机构：
[1] Instituut voor Theoretische Fysica,
[2] K.U.Leuven,undefined
[3] Celestijnenlaan 200 D,undefined
[4] 3001 Leuven,undefined
[5] Belgium. E-mail: Christian.Maes@fys.kuleuven.ac.be,undefined
[6] Eurandom,undefined
[7] Technical University of Eindhoven,undefined
[8] P.O.Box 513,undefined
[9] 5600 MB,undefined
[10] Eindhoven,undefined
[11] The Netherlands. E-mail: e.verbitskiy@tue.nl,undefined
来源：
Communications in Mathematical Physics | 2003年 / 233卷
关键词：
Rate Function; Specification Property; Large Class; Chaotic System; Simple Proof;
D O I：
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学科分类号：
摘要：
 We consider expansive homeomorphisms with the specification property. We give a new simple proof of a large deviation principle for Gibbs measures corresponding to a regular potential and we establish a general symmetry of the rate function for the large deviations of the antisymmetric part, under time-reversal, of the potential. This generalizes the Gallavotti-Cohen fluctuation theorem to a larger class of chaotic systems.
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页码：137 / 151
页数：14
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