An application of number theory to ergodic theory and the construction of uniquely ergodic models
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Using a combinatorial result of N. Hindman one can extend Jewett’s method for proving that a weakly mixing measure preserving transformation has a uniquely ergodic model to the general ergodic case. We sketch a proof of this reviewing the main steps in Jewett’s argument.
KeywordsPeriodic Point Topological Dynamic Combinatorial Result Initial Element Uniquely Ergodic
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