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

DOI:
https://doi.org/10.1090/S0002-9939-08-09154-5

Published electronically:
March 4, 2008

MathSciNet review:
2390514

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Abstract | References | Similar Articles | Additional Information

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:
https://doi.org/10.1090/S0002-9939-08-09154-5

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