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Lyapunov exponents for continuous random transformations

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Abstract

In this paper, the concept of Lyapunov exponent is generalized to random transformations that are not necessarily differentiable. For a class of random repellers and of random hyperbolic sets obtained via small perturbations of deterministic ones respectively, the new exponents are shown to coincide with the classical ones.

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Authors and Affiliations

  1. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, 050016, China

    YuJun Zhu & JinLian Zhang

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  1. YuJun Zhu
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  2. JinLian Zhang
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Correspondence to YuJun Zhu.

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Zhu, Y., Zhang, J. Lyapunov exponents for continuous random transformations. Sci. China Math. 53, 413–424 (2010). https://doi.org/10.1007/s11425-009-0030-x

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  • DOI: https://doi.org/10.1007/s11425-009-0030-x

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