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Limit Theorems for Markov Chains and Stochastic Properties of Dynamical Systems by Quasi-Compactness Volume 1766 by Hennion, Hubert; Hervé, Loïc is a scholarly article available to read on EtoBox.

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The usefulness of from the of techniques perturbation theory operators, to kernel for limit theorems for a applied quasi-compact positive Q, obtaining Markov chains for stochastic of or dynamical by describing properties systems, of Perron- Frobenius has been demonstrated in several All use a operator, papers. these works share the features the features that must be same specific general ; used in each stem from the nature of the functional particular case precise space where the of is and from the number of quasi-compactness Q proved eigenvalues of of modulus 1. We here a functional framework for Q give general analytical this method and we the aforementioned behaviour within it. It asymptotic prove is worth that this framework is to allow the unified noticing sufficiently general treatment of all the cases considered in the literature the previously specific ; characters of model translate into the verification of of simple hypotheses every a functional nature. When to Markov kernels or to Perr- applied Lipschitz Frobenius associated with these statements rise operators expanding give maps, to new results and the of known The main clarify proofs already properties. of the deals w

Author

Hennion, Hubert; Hervé, Loïc

Publisher

Springer Berlin Heidelberg

Published

2001

Language

EN

ISBN

9783540424154