Invariant measures and asymptotics for some skew products

被引：21

作者：

Aaronson, J ^{[1
]}

Nakada, H

Sarig, O

Solomyak, R

机构：

[1] Tel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel

[2] Keio Univ, Dept Math, Yokohama, Kanagawa 223, Japan

[3] Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands, England

[4] Univ Washington, Dept Math, Seattle, WA 98195 USA

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2002年 / 128卷 / 1期

关键词：

D O I：

10.1007/BF02785420

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For certain group extensions of uniquely ergodic transformations, we identify all locally finite, ergodic, invariant measures. These are Maharam type measures. We also establish the asymptotic behaviour for these group extensions proving logarithmic ergodic theorems, and bounded rational ergodicity.

引用

页码：93 / 134

页数：42

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