Disjointness of interval exchange transformations from systems of probabilistic origin

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February 2010, 27(1): 53-73. doi: 10.3934/dcds.2010.27.53

Disjointness of interval exchange transformations from systems of probabilistic origin

Jacek Brzykcy ^1, and Krzysztof Frączek ^1,

1.	Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, ul. Chopina 12/18, 87-100 Toruń, Poland

Received May 2009 Revised September 2009 Published February 2010

Abstract
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We prove the disjointness of almost all interval exchange transformations from ELF systems (systems of probabilistic origin) for a countable subset of permutations including the symmetric permutations

$ 1\ 2\ \ldots \ m-1 \ m $
$ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ m\ m-1 \ldots \ 2\ 1 $ for m=3,5,7.

Some disjointness properties of special flows built over interval exchange transformations and under piecewise constant roof function are investigated as well.

Keywords: disjointness of dynamical systems., Interval exchange transformations.

Mathematics Subject Classification: 37A05, 37E0.

Citation: Jacek Brzykcy, Krzysztof Frączek. Disjointness of interval exchange transformations from systems of probabilistic origin. Discrete & Continuous Dynamical Systems - A, 2010, 27 (1) : 53-73. doi: 10.3934/dcds.2010.27.53

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