Synopsis
1.Introduction.- 2.Quasi-stationary Distributions: General Results.- 3.Markov Chains on Finite Spaces.- 4.Markov Chains on Countable Spaces.- 5.Birth and Death Chains.- 6.Regular Diffusions on [0,∞).- 7.Infinity as Entrance Boundary.- 8.Dynamical Systems.- References.- Index.- Table of Notations.- Citations Index.
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Review
From the reviews:
“This book puts together several important contributions of the authors to the field. ... the writing is pedagogical and provides a timely and varied introduction to a subject which is increasingly attracting its due attention. ... it should serve as a useful basis for further research.” (Laurent Miclo, Mathematical Reviews, September, 2013)
“The authors of the book have made remarkable contributions to this topic of research, and this book cultivates their work to date. ... The authors of the book are leading experts in the area, and they made all the effort to make the book accessible to everyone, from graduate students to researchers, working in this area. ... I have never seen a book which is devoted only to the study of QSD and which covers both Markov process and dynamical systems.” (Wael Bahsoun, SIAM Review, Vol. 55 (4), 2013)
“The monograph under review is a thorough study of QSDs and related concepts for Markov chains, diffusions and dynamical systems. ... The exposition of the chosen material is well-organized and proofs are mostly given in complete detail. Historical references are scattered throughout the text. The book will be very useful to researchers and graduate students who want to learn more about the subject, as well as to the experts in the field.” (Zoran Vondraček, Zentralblatt MATH, Vol. 1261, 2013)"About this title" may belong to another edition of this title.
