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

Federal University of Ceara
University of Warwick

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Pages (de - à)	6043-6095
Nombre de pages	53
journal	Transactions of the American Mathematical Society
Volume	377
Numéro de publication	9
Les DOIs	https://doi.org/10.1090/tran/9182
état	Publié - 1 sept. 2024

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10.1090/tran/9182

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@article{d03b8a7c698249d696c81e82f312894a,

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",

month = sep,

day = "1",

doi = "10.1090/tran/9182",

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journal = "Transactions of the American Mathematical Society",

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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

U2 - 10.1090/tran/9182

DO - 10.1090/tran/9182

M3 - Article

AN - SCOPUS:85203052745

SN - 0002-9947

VL - 377

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EP - 6095

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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