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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Exponential decay of correlations for surface semi-flows without finite Markov partitions
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by Viviane Baladi and Brigitte Vallée PDF
Proc. Amer. Math. Soc. 133 (2005), 865-874 Request permission

Abstract:

We extend Dolgopyat’s bounds on iterated transfer operators to suspensions of interval maps with infinitely many intervals of monotonicity.
References
  • N. Anantharaman, Travaux de Dolgopyat sur le mélange des mesures de Gibbs, Chapter 1 of “Géodésiques fermées d’une surface sous contraintes homologiques,” unpublished, 2000.
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  • Luchezar Stoyanov, Spectrum of the Ruelle operator and exponential decay of correlations for open billiard flows, Amer. J. Math. 123 (2001), no. 4, 715–759. MR 1844576
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Additional Information
  • Viviane Baladi
  • Affiliation: CNRS, UMR 7586, Institut de Mathématiques de Jussieu, 75251 Paris, France
  • MR Author ID: 29810
  • Email: baladi@math.jussieu.fr
  • Brigitte Vallée
  • Affiliation: CNRS, GREYC, Université de Caen, 14032 Caen, France
  • Email: brigitte.vallee@info.unicaen.fr
  • Received by editor(s): November 23, 2003
  • Published electronically: September 29, 2004
  • Additional Notes: This work was supported in part by two CNRS MATHSTIC grants. We thank A. Hachemi for a careful reading of a previous version of the paper.
  • Communicated by: Michael Handel
  • © Copyright 2004 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 865-874
  • MSC (2000): Primary 37C30, 37D50, 37E35
  • DOI: https://doi.org/10.1090/S0002-9939-04-07671-3
  • MathSciNet review: 2113938