Mathematical Sciences Classification System
37Axx - Ergodic theory
[See also 28Dxx]
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37A05Measure-preserving transformations
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37A10One-parameter continuous families of measure-preserving transformations
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37A15General groups of measure-preserving transformations [See mainly 22Fxx]
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37A17Homogeneous flows [See also 22Fxx]
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37A20Orbit equivalence, cocycles, ergodic equivalence relations
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37A25Ergodicity, mixing, rates of mixing
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37A30Ergodic theorems, spectral theory, Markov operators {For operator ergodic theory, see mainly 47A35}
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37A35Entropy and other invariants, isomorphism, classification
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37A40Nonsingular (and infinite-measure preserving) transformations
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37A45Relations with number theory and harmonic analysis [See also 11Kxx]
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37A50
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37A55Relations with the theory of $C^*$-algebras [See mainly 46L55]
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37A60Dynamical systems in statistical mechanics [See also 82Cxx]
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37A99None of the above, but in this section