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37Axx Ergodic theory [See also 28Dxx] {Info & Stats}

  • 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