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arXiv · 1304.8127

Topological mixing for some residual sets of interval exchange transformations

Jon Chaika·Jon Fickenscher
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Abstract

We show that a residual set of non-degenerate IETs on more than 3 letters is topologically mixing. This shows that there exists a uniquely ergodic topologically mixing IET. This is then applied to show that some billiard flows in a fixed direction in an L-shaped polygon are topologically mixing.

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Jon Chaika, Jon Fickenscher. 2014-10-01. Topological mixing for some residual sets of interval exchange transformations. https://doi.org/10.1007/s00220-014-2191-x

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