Limit Theorems for Markov Chains and Stochastic Properties of Dynamical Systems by Quasi-Compactness

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 operat...

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Detaylı Bibliyografya
Asıl Yazarlar: Hennion, Hubert, 1944-, Hervé, Loïc, 1963-...., mathématicien (Yazar)
Materyal Türü: Livre numérique
Dil:Anglais
Baskı/Yayın Bilgisi: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Seri Bilgileri:Lecture notes in mathematics 1766
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Edition sous un autre format:• Limit theorems for Markov chains and stochastic properties of dynamical systems by quasi-compactness, Hubert Hennion, Loïc Hervé, 2001, Berlin, Springer, 1 vol. (144 p.), Lecture notes in mathematics, 3-540-42415-6
• Limit Theorems for Markov Chains and Stochastic Properties of Dynamical Systems by Quasi-Compactness, Texte imprimé, 9783662205389
Diğer Bilgiler
Özet: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 with a Markov kernel for which 1 is a part quasi-compact Q paper of modulus 1. An essential but is not the simple eigenvalue unique eigenvalue element of the work is the of the of peripheral Q precise description spectrums and of its To conclude the the results obtained perturbations.
Diğer Bilgileri:Archives Springer e-books (Licence nationale)
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ISBN:9783540446231 (PDF)
ISSN:1617-9692
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