POLYNOMIAL DECAY OF CORRELATIONS FOR NONPOSITIVELY CURVED SURFACES

Yuri Lima; Carlos Matheus; Ian Melbourne

doi:10.1090/tran/9182

POLYNOMIAL DECAY OF CORRELATIONS FOR NONPOSITIVELY CURVED SURFACES

Yuri Lima
, Carlos Matheus
, Ian Melbourne

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	6043-6095
Number of pages	53
Journal	Transactions of the American Mathematical Society
Volume	377
Issue number	9
DOIs	https://doi.org/10.1090/tran/9182
Publication status	Published - 1 Sept 2024

Keywords

Polynomial decay of correlations
Young towers
geodesic flows
nonpositive curvature

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10.1090/tran/9182

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title = "POLYNOMIAL DECAY OF CORRELATIONS FOR NONPOSITIVELY CURVED SURFACES",

abstract = "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.",

keywords = "Polynomial decay of correlations, Young towers, geodesic flows, nonpositive curvature",

author = "Yuri Lima and Carlos Matheus and Ian Melbourne",

note = "Publisher Copyright: {\textcopyright} 2024 American Mathematical Society.",

year = "2024",

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doi = "10.1090/tran/9182",

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AU - Matheus, Carlos

AU - Melbourne, Ian

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N2 - 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.

AB - 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.

KW - Polynomial decay of correlations

KW - Young towers

KW - geodesic flows

KW - nonpositive curvature

UR - https://www.scopus.com/pages/publications/85203052745

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DO - 10.1090/tran/9182

M3 - Article

AN - SCOPUS:85203052745

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JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 9

ER -

POLYNOMIAL DECAY OF CORRELATIONS FOR NONPOSITIVELY CURVED SURFACES

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