Overview
This is the revised and augmented edition of a now classic book which is an introduction to sub-Markovian kernels on general measurable spaces and their associated homogeneous Markov chains. The first part, an expository text on the foundations of the subject, is intended for post-graduate students. A study of potential theory, the basic classification of chains according to their asymptotic behaviour and the celebrated Chacon-Ornstein theorem are examined in detail. The second part of the book is at a more advanced level and includes a treatment of random walks on general locally compact abelian groups. Further chapters develop renewal theory, an introduction to Martin boundary and the study of chains recurrent in the Harris sense. Finally, the last chapter deals with the construction of chains starting from a kernel satisfying some kind of maximum principle.
Full Product Details
Author: D. Revuz
Publisher: Elsevier Science & Technology
Imprint: North-Holland
Edition: 2nd Revised edition
Volume: 11
Dimensions:
Width: 15.60cm
, Height: 2.30cm
, Length: 23.40cm
Weight: 0.680kg
ISBN: 9780444864000
ISBN 10: 0444864008
Pages: 380
Publication Date: 01 May 1984
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Hardback
Publisher's Status: Active
Availability: In Print
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Reviews
...carefully organized, the proofs are well thought, thorough and elegant. Many problems supplement the material in the text... The first few chapters provide a good introduction to Markov chains for the novice and most experts will find something new in the latter chapters. Bulletin of the American Mathematical Society ...the book provides a good summary of the development of the subject in the past twenty years. Its careful organization, so convenient for the reader, has already recommended it as a text-book for various courses and seminars. Mathematical Reviews
...carefully organized, the proofs are well thought, thorough and elegant. Many problems supplement the material in the text... The first few chapters provide a good introduction to Markov chains for the novice and most experts will find something new in the latter chapters. Bulletin of the American Mathematical Society ...the book provides a good summary of the development of the subject in the past twenty years. Its careful organization, so convenient for the reader, has already recommended it as a text-book for various courses and seminars. Mathematical Reviews
"""...carefully organized, the proofs are well thought, thorough and elegant. Many problems supplement the material in the text... The first few chapters provide a good introduction to Markov chains for the novice and most experts will find something new in the latter chapters."" --Bulletin of the American Mathematical Society ""...the book provides a good summary of the development of the subject in the past twenty years. Its careful organization, so convenient for the reader, has already recommended it as a text-book for various courses and seminars."" --Mathematical Reviews"
...carefully organized, the proofs are well thought, thorough and elegant. Many problems supplement the material in the text... The first few chapters provide a good introduction to Markov chains for the novice and most experts will find something new in the latter chapters.Bulletin of the American Mathematical Society...the book provides a good summary of the development of the subject in the past twenty years. Its careful organization, so convenient for the reader, has already recommended it as a text-book for various courses and seminars.Mathematical Reviews
