Rank two interval exchange transformations
نویسندگان
چکیده
منابع مشابه
Languages of k-interval exchange transformations
This paper gives a complete characterization of those sequences of subword complexity (k− 1)n + 1 that are natural codings of orbits of k-interval exchange transformations, thereby answering an old question of Rauzy.
متن کاملJoinings of Three-interval Exchange Transformations
We show that among three-interval exchange transformations there exists a dichotomy: T has minimal self-joinings whenever the associated subshift is linearly recurrent, and is rigid otherwise. We build also a family of simple rigid three-interval exchange transformations, which is a step towards an old question of Veech, and a family of rigid three-interval exchange transformations which includ...
متن کاملEigenvalues and Simplicity of Interval Exchange Transformations
In this paper we consider a class of d-interval exchange transformations, which we call the symmetric class. For this class we define a new self-dual induction process in which the system is successively induced on a union of sub-intervals. This algorithm gives rise to an underlying graph structure which reflects the dynamical behavior of the system, through the Rokhlin towers of the induced ma...
متن کاملWeak Mixing for Interval Exchange Transformations and Translation Flows
We show that a typical interval exchange transformation is either weakly mixing or it is an irrational rotation. We also conclude that a typical translation flow on a surface of genus g ≥ 2 (with prescribed singularity types) is weakly mixing.
متن کاملInterval Exchange Transformations and Some Special Flows Are Not Mixing
An interval exchange transformation (I.E.T.) is a map of an interval into itself which is one-to-one and continuous except for a finite set of points and preserves Lebesgue measure. We prove that any I.E.T. is not mixing with respect to any Borel invariant measure. The same is true for any special flow constructed by any I.E.T. and any "roof" function of bounded variation. As an application of ...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 1988
ISSN: 0143-3857,1469-4417
DOI: 10.1017/s0143385700004521