ERGODICITY OF CERTAIN COCYCLES OVER CERTAIN INTERVAL EXCHANGES

被引：2

作者：

Ralston, David ^{[1
]}

Troubetzkoy, Serge ^{[2
,3
]}

机构：

[1] SUNY Coll Old Westbury, Math CIS Dept, Old Westbury, NY 11568 USA

[2] Aix Marseille Univ, CPT, IML, F-13288 Marseille 09, France

[3] Univ Toulon & Var, CNRS, CPT, F-83957 La Garde, France

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2013年 / 33卷 / 06期

关键词：

Ergodicity; cocycle; interval exchange; essential value; infinite ergodic theory;

D O I：

10.3934/dcds.2013.33.2523

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that for odd-valued piecewise-constant skew products over a certain two parameter family of interval exchanges, the skew product is ergodic for a full-measure choice of parameters.

引用

页码：2523 / 2529

页数：7

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