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Markov Chains

โœ Scribed by Daniel Revuz


Publisher
Elsevier, Academic Press
Year
2005
Tongue
English
Leaves
389
Series
North-Holland mathematical library 11
Edition
Rev Sub
Category
Library

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โœฆ Synopsis


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.


๐Ÿ“œ SIMILAR VOLUMES


Markov Chains
โœ J.R.Norris ๐Ÿ“‚ Library ๐Ÿ› Cambridge University Press ๐ŸŒ English
Markov Chains
โœ J. R. Norris ๐Ÿ“‚ Library ๐Ÿ“… 1997 ๐Ÿ› Cambridge University Press ๐ŸŒ English

This is a unique book that bridges the gap between undergraduate and graduate treatment but only in the first three chapters. It does require a number of preparatory courses, from multivariate calculus, linear algebra, differential equations to solid understanding of at least undergraduate level of

Markov Chains
โœ Daniel Revuz ๐Ÿ“‚ Library ๐Ÿ“… 2005 ๐Ÿ› North Holland ๐ŸŒ English

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.

Markov chains
โœ Revuz D. ๐Ÿ“‚ Library ๐Ÿ“… 1984 ๐Ÿ› North-Holland ๐ŸŒ English

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.

Markov Chains
โœ David Freedman (auth.) ๐Ÿ“‚ Library ๐Ÿ“… 1983 ๐Ÿ› Springer-Verlag New York ๐ŸŒ English

<p>A long time ago I started writing a book about Markov chains, Brownian motion, and diffusion. I soon had two hundred pages of manuscript and my publisher was enthusiastic. Some years and several drafts later, I had a thousand pages of manuscript, and my publisher was less enthusiastic. So we made

Markov Chains
โœ Norris J.R. ๐Ÿ“‚ Library ๐Ÿ“… 1997 ๐Ÿ› Cambridge University Press ๐ŸŒ English

In this rigorous account the author studies both discrete-time and continuous-time chains. A distinguishing feature is an introduction to more advanced topics such as martingales and potentials, in the established context of Markov chains. There are applications to simulation, economics, optimal co