Mixing and the fractal geometry of piecewise isometries
نویسندگان
چکیده
منابع مشابه
Dynamics of Piecewise Isometries
We begin a systematic study of Euclidean Piecewise Isometric Dynamical Systems (p.i.d.s.) with a particular focus on the interplay between geometry, and symbolic dynamics , and the group of isometries associated with p.i.d.s. We investigate various aspects of the dynamical information contained in the coding: symbolic growth and the periodic behavior of codings and cells. This theoretical inves...
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Piecewise-isometries are zero-entropy dynamical systems with very complex behaviour. In one-dimension they are intervalexchange transformations (IET), which are connected to diophantine arithmetic by the Boshernitzan and Carrol theorem: in any IET defined over a quadratic number field, the process of induction results, after scaling, in an eventually periodic sequence of IETs. This can be viewe...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2017
ISSN: 2470-0045,2470-0053
DOI: 10.1103/physreve.95.042208