Large deviations on Markov towers

We give a sufficient condition to hold a full large deviation principle for Markov tower maps induced from return time functions. As an application of this result we show the large deviation principle of level 2 for some class of smooth dynamical systems with nonuniform hyperbolicity.

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Bibliographic Details
Published inNonlinearity Vol. 24; no. 4; pp. 1229 - 1252
Main Author Chung, Yong Moo
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.04.2011
Institute of Physics
Subjects
Deviation
Dynamical systems
Exact sciences and technology
Global analysis, analysis on manifolds
Limit theorems
Markov processes
Mathematical methods in physics
Mathematics
Nonlinearity
Nonuniform
Other topics in mathematical methods in physics
Physics
Probability and statistics
Probability theory and stochastic processes
Sciences and techniques of general use
Time functions
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Towers
Sufficient condition
Dynamical system
Mathematical physics
Nonlinear analysis
Large deviation
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Summary:We give a sufficient condition to hold a full large deviation principle for Markov tower maps induced from return time functions. As an application of this result we show the large deviation principle of level 2 for some class of smooth dynamical systems with nonuniform hyperbolicity.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 23
ISSN:0951-7715
1361-6544
DOI:10.1088/0951-7715/24/4/011