Large Deviations and a Fluctuation Symmetry for Chaotic Homeomorphisms

Christian Maes; Evgeny Verbitskiy

doi:10.1007/s00220-002-0764-6

Large Deviations and a Fluctuation Symmetry for Chaotic Homeomorphisms

Christian Maes, Evgeny Verbitskiy

Research output: Contribution to journal › Article › Academic › peer-review

17 Citations (Scopus)

151 Downloads (Pure)

Abstract

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.

Original language	English
Pages (from-to)	137–151
Number of pages	15
Journal	Communications in Mathematical Physics
Volume	233
DOIs	https://doi.org/10.1007/s00220-002-0764-6
Publication status	Published - 2003
Externally published	Yes

Access to Document

10.1007/s00220-002-0764-6

Handle.net

Persistent link

Embargoed Document

Large Deviations and a Fluctuation Symmetry for Chaotic Homeomorphisms
Final publisher's version, 122 KB
Request copy

Cite this

@article{95a405883e6b467683f9564e506e6124,

title = "Large Deviations and a Fluctuation Symmetry for Chaotic Homeomorphisms",

abstract = "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.",

author = "Christian Maes and Evgeny Verbitskiy",

note = "Relation: http://www.rug.nl/informatica/organisatie/overorganisatie/iwi Rights: University of Groningen. Research Institute for Mathematics and Computing Science (IWI)",

year = "2003",

doi = "10.1007/s00220-002-0764-6",

language = "English",

volume = "233",

pages = "137–151",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Nature Publishing Group",

}

TY - JOUR

T1 - Large Deviations and a Fluctuation Symmetry for Chaotic Homeomorphisms

AU - Maes, Christian

AU - Verbitskiy, Evgeny

N1 - Relation: http://www.rug.nl/informatica/organisatie/overorganisatie/iwi Rights: University of Groningen. Research Institute for Mathematics and Computing Science (IWI)

PY - 2003

Y1 - 2003

N2 - 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.

AB - 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.

U2 - 10.1007/s00220-002-0764-6

DO - 10.1007/s00220-002-0764-6

M3 - Article

SN - 0010-3616

VL - 233

SP - 137

EP - 151

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

ER -

Large Deviations and a Fluctuation Symmetry for Chaotic Homeomorphisms

Abstract

Access to Document

Handle.net

Embargoed Document

Fingerprint

Cite this