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On Ruelle–Perron–Frobenius Operators.¶II. Convergence Speeds

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We study Ruelle operators on expanding and mixing dynamical systems with potential function satisfying the Dini condition. We give an estimate for the convergence speed of the iterates of a Ruelle operator. Our proof avoids Markov partitions. This is the second part of our research on Ruelle operators.

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Authors and Affiliations

  1. Département de Mathématiques et Informatique, Université de Picardie Jules Verne, 33, Rue Saint Leu, 80039 Amiens Cedex 1, France. E-mail: ai-huafan@u-picardie.fr, , , , , , FR

    Aihua Fan

  2. Department of Mathematics, Queens College of CUNY, Flushing, NY 11367, USA and Department of Mathematics, CUNY Graduate School, 635 Fifth Avenue, New York, NY 10016, USA.¶E-mail: yunqc@jiang.math.qc.edu, , , , , , US

    Yunping Jiang

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  1. Aihua Fan
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Received: 31 May 2000 / Accepted: 1 June 2001

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Fan, A., Jiang, Y. On Ruelle–Perron–Frobenius Operators.¶II. Convergence Speeds. Commun. Math. Phys. 223, 143–159 (2001). https://doi.org/10.1007/s002200100539

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  • DOI: https://doi.org/10.1007/s002200100539

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