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

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Description

This book shows how techniques from the perturbation theory of operators, applied to a quasi-compact positive kernel, may be used to obtain limit theorems for Markov chains or to describe stochastic properties of dynamical systems. A general framework for this method is given and then applied to treat several specific cases. An essential element of this work is the description of the peripheral spectra of a quasi-compact Markov kernel and of its Fourier-Laplace perturbations. This is first done in the ergodic but non-mixing case. This work is extended by the second author to the non-ergodic case. The only prerequisites for this book are a knowledge of the basic techniques of probability theory and of notions of elementary functional analysis.
Release date Australia
August 1st, 2001
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
Illustrations
VIII, 152 p.
Pages
152
Dimensions
156x234x8
ISBN-13
9783540424154
Product ID
2108172

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