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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Cut-and-stack simple weakly mixing map with countably many prime factors


Authors: Alexandre I. Danilenko and Andres del Junco
Journal: Proc. Amer. Math. Soc. 136 (2008), 2463-2472
MSC (2000): Primary 37A05
Published electronically: March 4, 2008
MathSciNet review: 2390514
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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.


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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
Email: danilenko@ilt.kharkov.ua

Andres del Junco
Affiliation: Department of Mathematics, University of Toronto, Toronto, M5S 3G3, Canada
Email: deljunco@math.toronto.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-08-09154-5
PII: S 0002-9939(08)09154-5
Keywords: Joining, 2-fold simple transformation, $(C,F)$-construction
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
Article copyright: © Copyright 2008 American Mathematical Society