Minimal nonergodic directions on genus 2 translation surfaces

Details Minimal nonergodic directions on genus 2 translation surfaces Minimal nonergodic directions on genus 2 translation surfaces

2005-01-19

arxiv.org/abs/math/0501286v3

Ergodic Th. Dynam. Sys. 26 (2006), 341--351.

Mathematics

Dynamical Systems

15 pages, 2 figures, major simplifications in presentation as recommended by referee, to appear in Ergodic Theory Dynamical Sy

Scientific paper

It is well-known that on any Veech surface, the dynamics in any minimal
direction is uniquely ergodic. In this paper it is shown that for any genus 2
translation surface which is not a Veech surface there are uncountably many
minimal but not uniquely ergodic directions.

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