Models for measure preserving transformations |
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Authors: | Matthew Foreman |
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Affiliation: | Department of Mathematics, UC Irvine, Irvine, CA 92697, United States |
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Abstract: | Many recent results about the classification problem for ergodic measure preserving transformations involve global considerations about spaces of measure preserving transformations. This paper surveys recent joint work with Dan Rudolph and Benjamin Weiss in determining when various spaces of measure preserving transformations are equivalent in the sense of conjugacy preserving Borel isomorphism and in having the same generic dynamical properties. |
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Keywords: | Measure preserving transformations Ergodic transformations Classification Generic properties |
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