Site logo

Exhaustive Weakly Wandering Sequencesand Alpha-type Transformations

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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.

Subscribe to TheGufo Newsletter​