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Cut-and-stack simple weakly mixing map with countably many prime factors
Author(s):
Alexandre
I.
Danilenko;
Andres
del Junco
Journal:
Proc. Amer. Math. Soc.
136
(2008),
2463-2472.
MSC (2000):
Primary 37A05
Posted:
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.
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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:
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
Posted:
March 4, 2008
Communicated by:
Jane M. Hawkins
Copyright of article:
Copyright
2008,
American Mathematical Society
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