Minimality and Nonergodicity on a Family of Flat Surfaces in Genus 3
نویسنده
چکیده
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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