| 31. | The problem of metric classification of systems is another important part of the abstract ergodic theory.
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| 32. | The assumption can be made by invoking the ergodic hypothesis as well as the Hamiltonian systems.
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| 33. | A chaotic Hamiltonian system need not be ergodic, although that is usually a good assumption.
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| 34. | In ergodic literature, nontrivial effort is required to allow the reader to traverse the text.
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| 35. | A stack of stained and mouldering newspapers, on the other hand, is ergodic literature.
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| 36. | Also, it is unknown if every C ^ 1 volume preserving Anosov diffeomorphism is ergodic.
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| 37. | Such characteristics include Lyapunov stability, Lyapunov time, various measurements from ergodic theory, etc.
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| 38. | In the 1930s, independently of John von Neumann, he discovered the mean ergodic theorem.
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| 39. | For an ergodic reversible Markov chain with an underlying mixing time in ergodic reversible Markov chains.
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| 40. | For an ergodic reversible Markov chain with an underlying mixing time in ergodic reversible Markov chains.
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