A characterization of homeomorphic Bernoulli trial measures

Yingst, Andrew

doi:10.1090/S0002-9947-07-04431-5

A characterization of homeomorphic Bernoulli trial measures
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by Andrew Q. Yingst PDF

Trans. Amer. Math. Soc. 360 (2008), 1103-1131 Request permission

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.

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