Natural Science, Mathematics, 2025
Exhaustive Weakly Wandering Sequencesand Alpha-type Transformations
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Submitted: 2024-12-18; Published: 2024-12-18
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Abstract
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.