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...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Hennion, Hubert, 1944-, Hervé, Loïc, 1963-...., mathématicien (VerfasserIn)
Format: Livre numérique
Sprache:Anglais
Veröffentlicht: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Schriftenreihe: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
Inhaltsangabe:
  • 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.