Limit Theorems for Markov Chains and Stochastic Properties of Dynamical Systems by Quasi-Compactness [electronic resource] / edited by Hubert Hennion, Loïc Hervé.

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.

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