Rational weak mixing in infinite measure spaces
Rational weak mixing in infinite measure spaces
复制标题
无限测度空间中的有理弱混合
DOI：
10.1017/etds.2012.102
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发表时间：
2011
影响因子：
0.9
通讯作者：
J. Aaronson
中科院分区：
文献类型：
--
作者：
J. Aaronson
理性弱混合是无限保测度变换的Krickeberg强比混合性质的测度理论版本。它要求密集遗传环中每一对可测集的“密度”比收敛。理性弱混合意味着弱理性遍历性和（谱）弱混合。例如，具有Orey强比值极限性质的马尔可夫位移。该属性的幂次序列版本是通用的。
Abstract Rational weak mixing is a measure theoretic version of Krickeberg’s strong ratio mixing property for infinite measure preserving transformations. It requires ‘density’ ratio convergence for every pair of measurable sets in a dense hereditary ring. Rational weak mixing implies weak rational ergodicity and (spectral) weak mixing. It is enjoyed for example by Markov shifts with Orey’s strong ratio limit property. The power, subsequence version of the property is generic.