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Probability & Statistics
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Stochastic processes
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Ergodic theorems for stochastic processes
Measure-preserving transformations and ergodicity
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88
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73%
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Subtopics
Invariant measures of transformations
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26
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92%
]
Basic structure of the invariant sigma-algebra
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8
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75%
]
Birkhoff-Khinchin ergodic theorem
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7
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100%
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Ergodicity via Fourier coefficients
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7
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86%
]
Mixing: definition, basic properties, and examples
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6
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83%
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Equivalent criteria for ergodicity
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5
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40%
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Metric theory of continued fractions
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5
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60%
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Von Neumann mean ergodic theorem
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5
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60%
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Examples of ergodic and non-ergodic stationary sequences
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3
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33%
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Shannon-McMillan-Breiman theorem
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3
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0%
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The invariant sigma-algebra versus the tail sigma-algebra
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3
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0%
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Concrete examples of ergodic transformations
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2
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100%
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Invariance of expectation under a measure-preserving map
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2
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100%
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Invariant measures and unique ergodicity
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2
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0%
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Poincare recurrence theorem
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2
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50%
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Sufficient conditions and permanence properties of ergodicity
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2
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100%
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Metric conjugacy of measure-preserving transformations
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1
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100%
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Proof of the pointwise ergodic theorem
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1
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100%
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Kingman subadditive ergodic theorem
Natural extension (two-sided suspension) of a dynamical system
Weak mixing