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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Quantitative recurrence for generic homeomorphisms
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by André Junqueira PDF
Proc. Amer. Math. Soc. 145 (2017), 4751-4761 Request permission

Abstract:

In this article we study quantitative recurrence for generic measure preserving homeomorphisms on euclidian spaces with respect to Lebesgue measure and compact manifolds with respect to Oxtoby-Ulam measures (i.e., it is nonatomic and positive on each open set). As an application we show that the decay of correlations of generic measure preserving homeomorphisms on compact manifolds is slow.
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Additional Information
  • André Junqueira
  • Affiliation: Departamento de Matemática, Universidade Federal de Viçosa, Campus Universitário, CEP 36570-900, Viçosa, MG, Brazil
  • MR Author ID: 1053538
  • Email: andre.junqueira@ufv.br, andrejunqueiracorrea@gmail.com
  • Received by editor(s): May 9, 2015
  • Received by editor(s) in revised form: August 8, 2016
  • Published electronically: July 27, 2017
  • Additional Notes: This research was partially supported by Capes from Brazil
  • Communicated by: Yingfei Yi
  • © Copyright 2017 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 145 (2017), 4751-4761
  • MSC (2010): Primary 37B20, 37E30, 37C20; Secondary 37A25
  • DOI: https://doi.org/10.1090/proc/13430
  • MathSciNet review: 3691992