Concentration inequalities for sequential dynamical systems of the unit interval

被引：9

作者：

Aimino, Romain ^{[1
]}

Rousseau, Jerome ^{[2
]}

机构：

[1] II Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci, I-00133 Rome, Italy

[2] Univ Fed Bahia, Dept Matemat, Av Ademar Barros S-N, BR-40170110 Salvador, BA, Brazil

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2016年 / 36卷

关键词：

HYPERBOLIC SEQUENCE; DEVROYE INEQUALITY; LIMIT-THEOREMS; MEMORY LOSS; MAPS;

D O I：

10.1017/etds.2015.19

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a concentration inequality for sequential dynamical systems of the unit interval enjoying an exponential loss of memory in the BV norm and we investigate several of its consequences. In particular, this covers compositions of beta-transformations, with all beta lying in a neighborhood of a fixed beta(star) > 1, and systems satisfying a covering-type assumption.

引用

页码：2384 / 2407

页数：24

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