Finite approximations of Markov operators

DOI10.1016/S0377-0427(02)00429-6zbMath1013.65140OpenAlexW2069098487MaRDI QIDQ1860402

Jiu Ding, Tien-Yien Li, Aihui Zhou

Publication date: 23 February 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(02)00429-6

zbMATH Keywords

invariant measuresMarkov operatorsfinite approximationsFrobenius-Perron operatorschaotic discrete dynamical systems

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Numerical chaos (65P20) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

Related Items (10)

Response operators for Markov processes in a finite state space: radius of convergence and link to the response theory for axiom A systems ⋮ Approximations of Frobenius-Perron operators via interpolation ⋮ Integral and nonnegativity preserving approximations of functions ⋮ Computing the invariant measure and the Lyapunov exponent for one-dimensional maps using a measure-preserving polynomial basis ⋮ A modified piecewise linear Markov approximation of Markov operators ⋮ Integral and non-negativity preserving Bernstein-type polynomial approximations ⋮ A Linear Spline Markov Approximation Method for Random Maps with Position Dependent Probabilities ⋮ Quasi-compactness of linear operators on Banach spaces: New properties and application to Markov chains ⋮ RELATIVELY COHERENT SETS AS A HIERARCHICAL PARTITION METHOD ⋮ A probabilistic algorithm for aggregating vastly undersampled large Markov chains

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