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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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Cut-and-stack simple weakly mixing map with countably many prime factors
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by Alexandre I. Danilenko and Andres del Junco PDF
Proc. Amer. Math. Soc. 136 (2008), 2463-2472 Request permission

Abstract:

Via the cut-and-stack construction we produce a 2-fold simple weakly mixing transformation which has countably many proper factors and all of them are 2-to-1 and prime.
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Additional Information
  • Alexandre I. Danilenko
  • Affiliation: Max Planck Institute for Mathematics, Vivatsgasse 7, Bonn, 53111, Germany
  • Address at time of publication: Institute for Low Temperature Physics & Engineering of National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkov, 61164, Ukraine
  • MR Author ID: 265198
  • Email: danilenko@ilt.kharkov.ua
  • Andres del Junco
  • Affiliation: Department of Mathematics, University of Toronto, Toronto, M5S 3G3, Canada
  • Email: deljunco@math.toronto.edu
  • Received by editor(s): November 27, 2006
  • Received by editor(s) in revised form: February 22, 2007
  • Published electronically: March 4, 2008
  • Communicated by: Jane M. Hawkins
  • © Copyright 2008 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 2463-2472
  • MSC (2000): Primary 37A05
  • DOI: https://doi.org/10.1090/S0002-9939-08-09154-5
  • MathSciNet review: 2390514