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A characterization of homeomorphic Bernoulli trial measures
Author(s):
Andrew
Q.
Yingst
Journal:
Trans. Amer. Math. Soc.
360
(2008),
1103-1131.
MSC (2000):
Primary 28D05;
Secondary 37B05, 28C15
Posted:
September 25, 2007
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Additional information
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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Additional Information:
Andrew
Q.
Yingst
Affiliation:
Department of Mathematics, University of South Carolina, Columbia, South Carolina 29208
Address at time of publication:
Department of Mathematics, University of South Carolina, P.O. Box 889, Lancaster, South Carolina 29721
Email:
andy.yingst@gmail.com
DOI:
10.1090/S0002-9947-07-04431-5
PII:
S 0002-9947(07)04431-5
Received by editor(s):
July 17, 2006
Posted:
September 25, 2007
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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