Topological Dichotomy and Strict Ergodicity for Translation Surfaces

Details Topological Dichotomy and Strict Ergodicity for Translation Surfaces Topological Dichotomy and Strict Ergodicity for Translation Surfaces

2006-07-07

arxiv.org/abs/math/0607179v2

Mathematics

Dynamical Systems

25 pages, 6 figures. This revision contains an improved main theorem, simplified proofs, and an application to rational billia

Scientific paper

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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