Exhaustive Weakly Wandering Sequencesand Alpha-type Transformations

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Exhaustive Weakly Wandering Sequencesand Alpha-type Transformations Stanley Eigen

An increasing sequence of integers,B, is given forwhich there exists a family of ergodic, infinite measure preservingtransformationsTα, 0≤α≤1 so that (1)Tαis ofα-type and(2)Bis an exhaustive weakly wandering sequence for eachTα.

DOI: https://armjmath.sci.am/index.php/ajm/article/view/116 Armenian Journal of Mathematics, 7(2) 121-145

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Keywords

exhaustive weakly wandering, alpha-type, ergodic, infinite mea-sure preserving

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