Basis Markov Partitions and Transition Matrices for Stochastic Systems

DOI10.1137/070686111zbMath1159.37420arXivnlin/0605017OpenAlexW2003167652WikidataQ112267884 ScholiaQ112267884MaRDI QIDQ3624449

Erik M. Bollt, Andrzej Ostruszka, Karol Życzkowski, Góra, Paweł

Publication date: 30 April 2009

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0605017

zbMATH Keywords

stochastic dynamicsFrobenius-Perron operatortransition matrixMarkov partition

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Stochastic systems in control theory (general) (93E03) Ergodic theorems, spectral theory, Markov operators (37A30) Generation, random and stochastic difference and differential equations (37H10) Basic linear algebra (15A99) Dynamical aspects of statistical mechanics (37A60) Approximation methods and numerical treatment of dynamical systems (37M99)

Related Items (7)

A matrix-based approach to solving the inverse Frobenius-Perron problem using sequences of density functions of stochastically perturbed dynamical systems ⋮ Modelling uncertainties in phase-space boundary integral models of ray propagation ⋮ Solving the inverse Frobenius-Perron problem using stationary densities of dynamical systems with input perturbations ⋮ Space-time nature of causality ⋮ INVARIANT MEASURES OF STOCHASTIC PERTURBATIONS OF DYNAMICAL SYSTEMS USING FOURIER APPROXIMATIONS ⋮ A boundary integral method for modelling vibroacoustic energy distributions in uncertain built up structures ⋮ Uncertainty quantification for phase-space boundary integral models of ray propagation

This page was built for publication: Basis Markov Partitions and Transition Matrices for Stochastic Systems