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Large deviations for random expanding maps

Chapter 2: Nonlinear Random Dynamical Systems

Part of the Lecture Notes in Mathematics book series (LNM,volume 1486)

Abstract

Employing a general theorem on large deviations together with Walters' result on uniqueness of equilibrium states for some mappings which expand distances I derive large deviation bounds for random expanding maps which involve the entropy similarly to large deviations for dynamical systems. Relativized large deviations are discussed, as well.

Keywords

  • Markov Chain
  • Lyapunov Exponent
  • Invariant Measure
  • Conditional Measure
  • Topological Pressure

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References

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© 1991 Springer-Verlag

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Kifer, Y. (1991). Large deviations for random expanding maps. In: Arnold, L., Crauel, H., Eckmann, JP. (eds) Lyapunov Exponents. Lecture Notes in Mathematics, vol 1486. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086667

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  • DOI: https://doi.org/10.1007/BFb0086667

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54662-7

  • Online ISBN: 978-3-540-46431-0

  • eBook Packages: Springer Book Archive