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Entropy formula of Pesin type for noninvertible random dynamical systems

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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 \(C^2\) 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.

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Authors and Affiliations

  1. Department of Mathematics and Institute of Mathematics, Peking University, Beijing 100871, P. R. China (e-mail: lpd@pku.edu.cn) , , , , , , CN

    Pei–Dong Liu

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  1. Pei–Dong Liu
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Received October 17, 1997; in final form January 5, 1998

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Liu, P. Entropy formula of Pesin type for noninvertible random dynamical systems. Math Z 230, 201–239 (1999). https://doi.org/10.1007/PL00004694

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  • DOI: https://doi.org/10.1007/PL00004694

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