| 1. | Hence, strong mixing implies weak mixing, which implies ergodicity.
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| 2. | Unique ergodicity of the flow was established by Hillel Furstenberg in 1972.
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| 3. | Looking at the article ergodicity, I have a couple of questions.
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| 4. | Another way ergodicity can be broken is by the existence of nonlinear soliton symmetries.
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| 5. | That's probably an abuse on my part of the concept of ergodicity.
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| 6. | The concepts of ergodicity and the ergodic hypothesis are central to applications of ergodic theory.
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| 7. | In 1939 Hopf established ergodicity of the geodesic flow on manifolds of constant negative curvature.
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| 8. | He proved unique ergodicity of horocycle flows on compact hyperbolic Riemann surfaces in the early 1970s.
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| 9. | Also conventional glasses ( e . g . window glasses ) violate ergodicity in a complicated manner.
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| 10. | Mutation alone can provide ergodicity of the overall genetic algorithm process ( seen as a Markov chain ).
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