Central limit theorems for random evolutions

DOI10.1016/0304-4149(94)90064-7zbMath0821.60031OpenAlexW2070436017MaRDI QIDQ1343578

Dudley Paul Johnson

Publication date: 27 September 1995

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(94)90064-7

zbMATH Keywords

Markov chainscentral limit theoremrandom evolutionssemigroup theory of operators

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Continuous-time Markov processes on discrete state spaces (60J27)

Cites Work

• A central limit theorem for products of dependent random linear and nonlinear operators
• Hilbert space representations of general discrete time stochastic processes
• A short proof of the central limit theorem for Markov chains
• Erratum: Hilbert space representations of general discrete time stochastic processes
• Limit theorems for semigroups with perturbed generators, with applications to multiscaled random evolutions
• Note on product formulas for operator semigroups
• Extensions of Trotter's operator semigroup approximation theorems
• A limit theorem for perturbed operator semigroups with applications to random evolutions
• On the Product of Semi-Groups of Operators
• Central Limit Theorem for Products of Random Matrices
• Diffusion approximations of Markov chains with two time scales and applications to population genetics
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