Mathematics – Dynamical Systems
Scientific paper
2008-01-03
Mathematics
Dynamical Systems
10 pages, 3 figures
Scientific paper
We prove that a certain family of flat surfaces in genus 3 does not fulfill
Veech's Dichotomy. These flat surfaces provide uncountably many minimal but
nonergodic directions. The conditions on this family are a combinatorical one
and an irrationality condition. The Arnoux-Yoccoz surface fulfills this
conditions.
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