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LARGE DEVIATIONS IN RANDOM PERTURBATIONS OF AXIOM A BASIC SETS

Published online by Cambridge University Press:  08 August 2003

PEI-DONG LIU  and
YANG ZHAO
PEI-DONG LIU
Affiliation:
LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China e-mail: lpd@pku.edu.cn
YANG ZHAO
Affiliation:
Department of Mathematics, Tsinghua University, Beijing 100084, China e-mail: yzhao@math.tsinghua.edu.cn
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Abstract

The paper first proves a result on the upper semi-continuity of the entropy map of random bundle maps, and then proves some large deviation results for random maps perturbations of an Axiom A diffeomorphism.

Keywords

37D20
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 68 , Issue 1 , August 2003 , pp. 148 - 164
Copyright
The London Mathematical Society 2003

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Footnotes

This work was supported by the SFMSBRP and NSFDYS.