Characterization of joint ergodicity for non-commuting transformations

Characterization of joint ergodicity for non-commuting transformations
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非通勤变换的联合遍历性的表征

DOI:
10.1007/bf02776245
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发表时间:
1986
期刊:
影响因子:
--
通讯作者:
V. Bergelson
V. Bergelson
中科院分区:
--
文献类型:
--
作者:
D. Berend;V. Bergelson

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在[2]和[1]中开始的联合遍历变换的研究仍在继续。主要结果是,如果T1、T2、…,T_s是概率空间(X,ℬ,μ)的任意保测度变换,则当且仅当满足下列条件:(1)T1×T_2×…×TSIS遍历。(2)。
The study of jointly ergodic transformations, begun in [2] and [1], is continued. The main result is that, ifT1,T2, …,Tsare arbitrary measure preserving transformations of a probability space (X, ℬ,μ), then , if and only if the following conditions are satisfied:(1)T1×T2×…×Tsis ergodic.(2).