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11-XX Number theory
11Jxx Diophantine approximation, transcendental number theory [See also 11K60]
11J06   Markov and Lagrange spectra and generalizations
37-XX Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX]
37Axx Ergodic theory [See also 28Dxx]
37A30   Ergodic theorems, spectral theory, Markov operators {For operator ergodic theory, see mainly 47A35}
47-XX Operator theory
47Dxx Groups and semigroups of linear operators, their generalizations and applications
47D07   Markov semigroups and applications to diffusion processes {For Markov processes, see 60Jxx}
60-XX Probability theory and stochastic processes {For additional applications, see 05Cxx, 11Kxx, 34-XX, 35-XX, 62-XX, 76-XX, 81-XX, 82-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX}
60Jxx Markov processes
60J05   Discrete-time Markov processes on general state spaces
60J10   Markov chains (discrete-time Markov processes on discrete state spaces)
60J20   Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) [See also 90B30, 91D10, 91E40]
60J22   Computational methods in Markov chains [See also 65C40]
60J25   Continuous-time Markov processes on general state spaces
60J27   Continuous-time Markov processes on discrete state spaces
60J28   Applications of continuous-time Markov processes on discrete state spaces
60J50   Boundary theory for Markov processes
60J57   Multiplicative functionals and Markov processes
60Kxx Special processes
60K15   Markov renewal processes, semi-Markov processes
60K20   Applications of Markov renewal processes (reliability, queueing networks, etc.) [See also 90Bxx]
62-XX Statistics
62Mxx Inference from stochastic processes
62M02   Markov processes: hypothesis testing
62M05   Markov processes: estimation; hidden Markov models
62M07   Non-Markovian processes: hypothesis testing
62M09   Non-Markovian processes: estimation
65-XX Numerical analysis
65Cxx Probabilistic methods, stochastic differential equations
65C40   Numerical analysis or methods applied to Markov chains [See also 60J22]
90-XX Operations research, mathematical programming
90Cxx Mathematical programming {For numerical methods, see also 49Mxx, 65Kxx}
90C40   Markov and semi-Markov decision processes
 
 
American Mathematical Society