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Topological Dichotomy and Strict Ergodicity for Translation Surfaces

Yitwah Cheung·Pascal Hubert·Howard Masur
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Abstract

In this paper the authors find examples of translation surfaces that have infinitely generated Veech groups, satisfy the topological dichotomy property that for every direction either the flow in that direction is completely periodic or minimal, and yet have minimal but non uniquely ergodic directions.

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Yitwah Cheung, Pascal Hubert, Howard Masur. 2007-10-02. Topological Dichotomy and Strict Ergodicity for Translation Surfaces. https://arxiv.org/abs/math/0607179

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