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- W2949295483 abstract "The squarefree flow is a natural dynamical system whose topological and ergodic properties are closely linked to the behavior of squarefree numbers. We prove that the squarefree flow carries a unique measure of maximal entropy and express this measure explicitly in terms of a skew-product of a Kronecker and a Bernoulli system. Using this characterization and a number-theoretic argument, we then show that the unique maximum entropy measure fails to possess the Gibbs property." @default.
- W2949295483 created "2019-06-27" @default.
- W2949295483 creator A5062900032 @default.
- W2949295483 date "2012-05-13" @default.
- W2949295483 modified "2023-09-27" @default.
- W2949295483 title "Uniqueness of the measure of maximal entropy for the squarefree flow" @default.
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