Poisson Approximations and Convergence Rates for Hyperbolic Dynamical Systems

被引：5

作者：

Su, Yaofeng ^{[1
]}

Bunimovich, Leonid A. ^{[1
]}

机构：

[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2022年 / 390卷 / 01期

关键词：

RETURN TIME STATISTICS; METRIC ENTROPY; ERROR TERMS; DECAY; DIFFEOMORPHISMS; INVARIANT; BILLIARDS; VISITS; NUMBER; BALLS;

D O I：

10.1007/s00220-022-04309-w

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove the asymptotic functional Poisson laws in the total variation norm and obtain estimates of the corresponding convergence rates for a large class of hyperbolic dynamical systems. These results generalize the ones obtained before in this area. Applications to intermittent solenoids, Axiom A attractors, Henon attractors and to billiards, are also considered.

引用

页码：113 / 168

页数：56

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