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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| 主要な著者: | , |
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| フォーマット: | Livre numérique |
| 言語: | Anglais |
| 出版事項: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| シリーズ: | Lecture notes in mathematics
1766 |
| 主題: | |
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| Autres localisations: | Voir dans le Sudoc |
| 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 |
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| 041 | 0 | |a eng | |
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| 100 | 1 | |a Hennion, Hubert, |d 1944- | |
| 245 | 1 | 0 | |a Limit Theorems for Markov Chains and Stochastic Properties of Dynamical Systems by Quasi-Compactness |c Hubert Hennion, Loïc Hervé. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1766 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a General Facts About The Method Purpose Of The Paper -- The Central Limit Theorems For Markov Chains Theorems A, B, C -- Quasi-Compact Operators of Diagonal Type And Their Perturbations -- First Properties of Fourier Kernels Application -- Peripheral Eigenvalues of Fourier Kernels -- Proofs Of Theorems A, B, C -- Renewal Theorem For Markov Chains Theorem D -- Large Deviations For Markov Chains Theorem E -- Ergodic Properties For Markov Chains -- Markov Chains Associated With Lipschitz Kernels Examples -- Stochastic Properties Of Dynamical Systems Theorems A*, B*, C*, D*, E* -- Expanding Maps -- Proofs Of Some Statements In Probability Theory -- Functional Analysis Results On Quasi-Compactness -- Generalization To The Non-Ergodic Case. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Markov, processus de | ||
| 650 | |a Théorèmes des limites (théorie des probabilités) | ||
| 650 | |a Dynamique différentiable | ||
| 650 | |a Processus stochastiques | ||
| 700 | 1 | |a Hervé, Loïc, |d 1963-...., |c mathématicien. |4 aut | |
| 776 | 0 | |0 067264670 |t Limit theorems for Markov chains and stochastic properties of dynamical systems by quasi-compactness |f Hubert Hennion, Loïc Hervé |d 2001 |c Berlin |n Springer |p 1 vol. (144 p.) |s Lecture notes in mathematics |z 3-540-42415-6 | |
| 776 | 0 | |t Limit Theorems for Markov Chains and Stochastic Properties of Dynamical Systems by Quasi-Compactness |b Texte imprimé |z 9783662205389 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/b87874 |z Accès sur la plateforme de l'éditeur | |
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| 997 | |0 970409 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||