Entropy formula of Pesin type for noninvertible random dynamical systems |
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Authors: | Pei–Dong Liu |
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Institution: | (1) Department of Mathematics and Institute of Mathematics, Peking University, Beijing 100871, P. R. China (e-mail: lpd@pku.edu.cn) , CN |
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Abstract: | In this paper we consider random dynamical systems (abbreviated henceforth as RDS's) generated by compositions of random
endomorphisms (maybe noninvertible and with singularities) of class of a compact manifold. Entropy formula of Pesin type is proved for such RDS's under some absolute continuity conditions on
the associated invariant measures.
Received October 17, 1997; in final form January 5, 1998 |
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Keywords: | Mathematics Subject Classification (1991):28D20 58F11 |
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