Weak mixing for interval exchange transformations and translation flows

Details Weak mixing for interval exchange transformations and translation flows Weak mixing for interval exchange transformations and translation flows

2004-06-16

arxiv.org/abs/math/0406326v1

Mathematics

Dynamical Systems

21 pages, no figures, first version

Scientific paper

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 $g \geq 2$ (with prescribed singularity
types) is weakly mixing.

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