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Logarithmic laws and unique ergodicity
Chaika, Jon...
Logarithmic laws and unique ergodicity by Chaika, Jon ( Author )
N.A
29-02-2016
We show that Masur's logarithmic law of geodesics in the moduli space of translation surfaces does not imply unique ergodicity of the translation flow, but that a similar law involving the flat systole of a Teichmüller geodesic does imply unique ergodicity. It shows that the flat geometry has a better control on ergodic properties of translation flow than hyperbolic geometry.
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Article
pdf
36.88 KB
English
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MYR 0.01
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https://arxiv.org/abs/1603.00076
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