Cut-and-stack simple weakly mixing map with countably many prime factors
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- by Alexandre I. Danilenko and Andres del Junco
- Proc. Amer. Math. Soc. 136 (2008), 2463-2472
- DOI: https://doi.org/10.1090/S0002-9939-08-09154-5
- Published electronically: March 4, 2008
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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.References
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Bibliographic 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