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arXiv:1304.8127 [math.DS]AbstractReferencesReviewsResources

Topological mixing for some residual sets of interval exchange transformations

Jon Chaika, Jon Fickenscher

Published 2013-04-30, updated 2014-10-01Version 2

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.

Comments: Update to include revisions based on referee's comments. The final publication is available at Springer via http://dx.doi.org/10.1007/s00220-014-2191-x
Categories: math.DS
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