INFINITE MEASURE PRESERVING FLOWS WITH INFINITE ERGODIC INDEX

被引：1

作者：

Danilenko, Alexandre I. ^{[1
]}

Solomko, Anton V. ^{[2
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Low Temp Phys & Engn, UA-61164 Kharkov, Ukraine

[2] Kharkov Natl Univ, Dept Math & Mech Engn, UA-61077 Kharkov, Ukraine

来源：

COLLOQUIUM MATHEMATICUM | 2009年 / 115卷 / 01期

关键词：

infinite measure preserving transformation; ergodic; RANK-ONE ACTIONS; TRANSFORMATIONS;

D O I：

10.4064/cm115-1-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct a rank-one infinite measure preserving flow (T-r)(r is an element of R) such that for each p > 0, the "diagonal" flow (T-r x ... x T-r)(r is an element of R) (p times) on the product space is ergodic.

引用

页码：13 / 19

页数：7

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