A characterization of homeomorphic Bernoulli trial measures

Author:

Yingst Andrew

Abstract

We give conditions which, given two Bernoulli trial measures, determine whether there exists a homeomorphism of Cantor space which sends one measure to the other, answering a question of Oxtoby. We then provide examples, relating these results to the notions of good and refinable measures on Cantor space.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

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1. Bratteli diagrams: Structure, measures, dynamics;Dynamics and Numbers;2016

2. Measures on Cantor sets: The good, the ugly, the bad;Transactions of the American Mathematical Society;2014-09-04

3. Infinite measures on Cantor spaces;Journal of Difference Equations and Applications;2012-04

4. Homeomorphic measures on stationary Bratteli diagrams;Journal of Functional Analysis;2011-12

5. Absolute Measurable Spaces;ENCYCLOP MATH APPL;2008

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