Mathematical Sciences Classification System

37Axx - Ergodic theory
[See also 28Dxx]

  • 37A05
    Measure-preserving transformations
  • 37A10
    One-parameter continuous families of measure-preserving transformations
  • 37A15
    General groups of measure-preserving transformations [See mainly 22Fxx]
  • 37A17
    Homogeneous flows [See also 22Fxx]
  • 37A20
    Orbit equivalence, cocycles, ergodic equivalence relations
  • 37A25
    Ergodicity, mixing, rates of mixing
  • 37A30
    Ergodic theorems, spectral theory, Markov operators {For operator ergodic theory, see mainly 47A35}
  • 37A35
    Entropy and other invariants, isomorphism, classification
  • 37A40
    Nonsingular (and infinite-measure preserving) transformations
  • 37A45
    Relations with number theory and harmonic analysis [See also 11Kxx]
  • 37A50
    Relations with probability theory and stochastic processes [See also 60Fxx and 60G10]
  • 37A55
    Relations with the theory of $C^*$-algebras [See mainly 46L55]
  • 37A60
    Dynamical systems in statistical mechanics [See also 82Cxx]
  • 37A99
    None of the above, but in this section

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