QUENCHED CLT FOR RANDOM TORAL AUTOMORPHISM

被引：32
作者：
Ayyer, Arvind [1 ]
Liverani, Carlangelo [2 ]
Stenlund, Mikko [3 ,4 ]
机构：
[1] Rutgers State Univ, Dept Phys, Piscataway, NJ 08854 USA
[2] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy
[3] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA
[4] Univ Helsinki, Dept Math & Stat, FIN-00014 Helsinki, Finland
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2009年 / 24卷 / 02期
关键词：
Central Limit Theorem; iterated maps; transfer operator; STATISTICAL PROPERTIES; HYPERBOLIC SEQUENCE; SOBOLEV SPACES; RECURRENCE; SYSTEMS; MAPS; ERGODICITY; MAPPINGS;
D O I：
10.3934/dcds.2009.24.331
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish a quenched Central Limit Theorem (CLT) for a smooth observable of random sequences of iterated linear hyperbolic maps on the torus. To this end we also obtain an annealed CLT for the same system. We show that, almost surely, the variance of the quenched system is the same as for the annealed system. Our technique is the study of the transfer operator on an anisotropic Banach space specifically tailored to use the cone condition satisfied by the maps.
引用
收藏
页码：331 / 348
页数：18
相关论文
共 22 条
123