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Mathematical Sciences Classification System

37Axx - Ergodic theory
[See also 28Dxx]

• 3
  37A05
  Measure-preserving transformations
• 37A10
  One-parameter continuous families of measure-preserving transformations
• 4
  37A15
  General groups of measure-preserving transformations [See mainly 22Fxx]
• 37A17
  Homogeneous flows [See also 22Fxx]
• 5
  37A20
  Orbit equivalence, cocycles, ergodic equivalence relations
• 4
  37A25
  Ergodicity, mixing, rates of mixing
• 9
  37A30
  Ergodic theorems, spectral theory, Markov operators {For operator ergodic theory, see mainly 47A35}
• 3
  37A35
  Entropy and other invariants, isomorphism, classification
• 1
  37A40
  Nonsingular (and infinite-measure preserving) transformations
• 13
  37A45
  Relations with number theory and harmonic analysis [See also 11Kxx]
• 5
  37A50
  Relations with probability theory and stochastic processes [See also 60Fxx and 60G10]
• 3
  37A55
  Relations with the theory of $C^*$-algebras [See mainly 46L55]
• 4
  37A60
  Dynamical systems in statistical mechanics [See also 82Cxx]
• 1
  37A99
  None of the above, but in this section