A Characterization of Homeomorphic Bernoulli Trial Measures
نویسنده
چکیده
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
منابع مشابه
Homeomorphic Bernoulli Trial Measures and Ergodic Theory
We survey the some of the main results, ideas and conjectures concerning two problems and their connections. The first problem concerns determining when two Bernoulli trial measures are homeomorphic to each other, i.e. when one is the image measure of the other via a homeomorphism of the Cantor space. The second problem concerns the following. Given a positive integer k characterize those Berno...
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تاریخ انتشار 2007