POLYNOMIAL DECAY OF CORRELATIONS FOR NONPOSITIVELY CURVED SURFACES

被引：1
|
作者：
Lima, Yuri [1 ]
Matheus, Carlos [2 ,3 ]
Melbourne, Ian [4 ]
机构：
[1] Univ Fed Ceara UFC, Ctr Ciencias, Dept Matemat, Campus Pici, BR-60455760 Fortaleza, CE, Brazil
[2] CNRS, CNRS UMR 7640, F-91128 Palaiseau, France
[3] Ecole Polytech, CNRS UMR 7640, F-91128 Palaiseau, France
[4] Univ Warwick, Math Inst, Coventry CV4 7AL, England
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2024年 / 377卷 / 09期
关键词：
STATISTICAL PROPERTIES; GEODESIC-FLOWS; HYPERBOLIC SYSTEMS; LIMIT-THEOREMS; BILLIARDS; RATES;
D O I：
10.1090/tran/9182
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页码：6043 / 6095
页数：53
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