%0 Journal Article
%T Minimality and nonergodicity on a family of flat surfaces in genus 3
%A Emanuel Nipper
%J Mathematics
%D 2008
%I arXiv
%X 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.
%U http://arxiv.org/abs/0801.0466v1