Asymptotic behavior of successive iterates of continuous functions under a Markov operator

DOI10.1016/0022-247X(64)90038-1zbMath0133.10701OpenAlexW2017572356MaRDI QIDQ2395680

Benton Jamison

Publication date: 1964

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(64)90038-1

zbMATH Keywords

probability theory

Related Items (20)

Equivalence of equicontinuity concepts for Markov operators derived from a Schur-like property for spaces of measures ⋮ A survey of average contractive iterated function systems ⋮ Feller processes on nonlocally compact spaces ⋮ Ergodic Decompositions Induced by Certain Markov Operators ⋮ Equicontinuous families of Markov operators in view of asymptotic stability ⋮ The e-property of asymptotically stable Markov semigroups ⋮ Capital accumulation and the optimization of renewable resource models ⋮ The Perron-Frobenius theory for almost-periodic operators and representations of semigroups ⋮ Approximation of invariant measures for random iterations ⋮ On ergodicity of general Markov chains ⋮ Random Markov mappings ⋮ Sequential games as stochastic processes ⋮ Fonctions harmoniques pour un opérateur de transition et applications ⋮ Some convergence theorems for stochastic learning models with distance diminishing operators ⋮ Splitting-off of the boundary spectrum for almost-periodic operators and representations of semigroups ⋮ Balanced exponential growth of operator semigroups ⋮ Spectral theory of almost periodic representations of semigroups ⋮ Low-pass filters, martingales, and multiresolution analyses ⋮ Semi-flows on spaces of probability measures ⋮ Semi-flows on spaces of probability measures

Cites Work

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• Convergence of convolution iterates of measures
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• Operator methods in classical mechanics. II
• On A Class of Operators Occurring in the Theory of Chains of Infinite Order
• Change of Time Scale For Markov Processes
• The Strong Law of Large Numbers for a Class of Markov Chains
• Probabilities on a Compact Group
• Dynamical Systems of Continuous Spectra
• Asymptotic Properties of Markoff Transition Probabilities

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