LAWS OF RARE EVENTS FOR DETERMINISTIC AND RANDOM DYNAMICAL SYSTEMS

被引：0

作者：

Aytac, Hale ^{[1
]}

Freitas, Jorge Milhazes ^{[1
,2
]}

Vaienti, Sandro ^{[3
,4
]}

机构：

[1] Univ Porto, Ctr Matemat, P-4169007 Porto, Portugal

[2] Univ Porto, Fac Ciencias, P-4169007 Porto, Portugal

[3] Aix Marseille Univ, CNRS, CPT, UMR 7332, F-13288 Marseille, France

[4] Univ Toulon & Var, CNRS, CPT, UMR 7332, F-83957 La Garde, France

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 367卷 / 11期

关键词：

Random dynamical systems; extreme values; hitting times statistics; extremal index; HITTING TIME STATISTICS; RETURN TIMES; RECURRENCE; RATES; BEHAVIOR;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The object of this paper is twofold. From one side we study the dichotomy, in terms of the Extremal Index of the possible Extreme Value Laws, when the rare events are centred around periodic or non-periodic points. Then we build a general theory of Extreme Value Laws for randomly perturbed dynamical systems. We also address, in both situations, the convergence of Rare Events Point Processes. Decay of correlations against L-1 observables will play a central role in our investigations.

引用

页码：8229 / 8278

页数：50

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