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Invariant Probabilities of Markov-Feller Operators and Their Supports

  • Radu Zaharopol

Part of the Frontiers in Mathematics book series (FM)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Radu Zaharopol
    Pages 1-36
  3. Radu Zaharopol
    Pages 75-99
  4. Back Matter
    Pages 101-108

About this book

Introduction

In this book invariant probabilities for a large class of discrete-time homogeneous Markov processes known as Feller processes are discussed. These Feller processes appear in the study of iterated function systems with probabilities, convolution operators, certain time series, etc. Rather than dealing with the processes, the transition probabilities and the operators associated with these processes are studied.

Main features:
- an ergodic decomposition which is a "reference system" for dealing with ergodic measures
- "formulas" for the supports of invariant probability measures, some of which can be used to obtain algorithms for the graphical display of these supports
- helps to gain a better understanding of the structure of Markov-Feller operators, and, implicitly, of the discrete-time homogeneous Feller processes
- special efforts to attract newcomers to the theory of Markov processes in general, and to the topics covered in particular
- most of the results are new and deal with topics of intense research interest.

Keywords

Feller process Markov process Markov-Feller operators Probability theory ergodicity

Authors and affiliations

  1. 1.Mathematical ReviewsAnn ArborUSA

Bibliographic information

  • DOI https://doi.org/10.1007/b98076
  • Copyright Information Birkhäuser Basel 2005
  • Publisher Name Birkhäuser, Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-7643-7134-0
  • Online ISBN 978-3-7643-7344-3
  • Series Print ISSN 1660-8046
  • Series Online ISSN 1660-8054
  • Buy this book on publisher's site