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Flat surfaces, Bratteli diagrams, and un...
Treviño, Rodrigo...
Flat surfaces, Bratteli diagrams, and unique ergodicity \`a la Masur by Treviño, Rodrigo ( Author )
N.A
12-04-2016
Recalling the construction of a flat surface from a Bratteli diagram, this paper considers the dynamics of the shift map on the space of all bi-infinite Bratteli diagrams as the renormalizing dynamics on a moduli space of flat surfaces of finite area. A criterion of unique ergodicity similar to that of Masur's for flat surface holds: if there is a subsequence of the renormalizing dynamical system which has a good accumulation point, the translation flow or Bratteli-Vershik transformation is uniquely ergodic. Related questions are explored.
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Article
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36.88 KB
English
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MYR 0.01
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https://arxiv.org/abs/1604.03572
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