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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Rates of mixing for potentials of summable variation
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by Mark Pollicott PDF
Trans. Amer. Math. Soc. 352 (2000), 843-853 Request permission

Abstract:

It is well known that for subshifts of finite type and equilibrium measures associated to Hölder potentials we have exponential decay of correlations. In this article we derive explicit rates of mixing for equilibrium states associated to more general potentials.
References
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Additional Information
  • Mark Pollicott
  • Affiliation: Department of Mathematics, Manchester University, Oxford Road, Manchester M13 9PL, England
  • MR Author ID: 140805
  • Email: mp@ma.man.ac.uk
  • Received by editor(s): September 22, 1997
  • Published electronically: September 17, 1999
  • © Copyright 1999 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 352 (2000), 843-853
  • MSC (1991): Primary 58Fxx
  • DOI: https://doi.org/10.1090/S0002-9947-99-02382-X
  • MathSciNet review: 1621698