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Polynomial decay of correlations for nonpositively curved surfaces

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 Added by Yuri Lima
 Publication date 2021
  fields
and research's language is English




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We prove polynomial decay of correlations for geodesic flows on a class of nonpositively curved surfaces where zero curvature only occurs along one closed geodesic. We also prove that various statistical limit laws, including the central limit theorem, are satisfied by this class of geodesic flows.



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