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The Distribution of the First Return Time for Rational Maps

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Abstract

We obtain exponential error estimates for the approximation of the zeroth return time to the Poisson distribution for rational maps which might have critical points within the Julia set.

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Authors and Affiliations

  1. Mathematics Department, University of Southern California, Los Angeles, California, 90089-1113

    Nicolai Haydn

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  1. Nicolai Haydn
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Haydn, N. The Distribution of the First Return Time for Rational Maps. Journal of Statistical Physics 94, 1027–1036 (1999). https://doi.org/10.1023/A:1004543302580

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  • DOI: https://doi.org/10.1023/A:1004543302580

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