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Expanding Maps

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1766))

Abstract

Let τ be a transformation of E = [0,1] having the following property: there exists a finite or countable partition of E by intervals (Ij)єJ such that, for all jєJ, the restriction of τ to Ij extends to a mappping on Ij which is of class C1 and verifies inf{|τ’(x)|:xєIj}≥1.

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© 2001 Springer-Verlag Berlin Heidelberg

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(2001). Expanding Maps. In: Hennion, H., Hervé, L. (eds) Limit Theorems for Markov Chains and Stochastic Properties of Dynamical Systems by Quasi-Compactness. Lecture Notes in Mathematics, vol 1766. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44623-0_12

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  • DOI: https://doi.org/10.1007/3-540-44623-0_12

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42415-4

  • Online ISBN: 978-3-540-44623-1

  • eBook Packages: Springer Book Archive

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