Almost periodic measures on the torus |
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Authors: | J P Conze S Glasner |
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Institution: | (1) Université de Rennes, Rennes, France;(2) Tel Aviv University, Tel Aviv, Israel |
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Abstract: | Given a skew product flow (T,T
2) on the two torus, we construct a family of flows onT
3 parametrized by elements of the circleT. We show that under a certain condition on (T,T
2) almost every flow in this family is strictly ergodic. This is used to characterize minimal subsets of the flow (T,P(T
2)) induced byT on the space of probability measures onT
2. Using a result of M. Herman, we give an example to show that this characterization does not hold for everyT.
To the memory of Shlomo Horowitz |
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Keywords: | |
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