Denumerable Markov Chains (graduate Texts In Mathematics)
by Anthony W. Knapp /
1976 / English / DjVu
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This textbook provides a systematic treatment of denumerable Markov
chains, covering both the foundations of the subject and some in
topics in potential theory and boundary theory. It is a discussion
of relations among what might be called the descriptive quantities
associated with Markov chains-probabilities of events and means of
random variables that give insight into the behavior of the chains.
The approach, by means of infinite matrices, simplifies the
notation, shortens statements and proofs of theorems, and often
suggests new results. This second edition includes the new chapter,
Introduction to Random Fields, written by David Griffeath.
This textbook provides a systematic treatment of denumerable Markov
chains, covering both the foundations of the subject and some in
topics in potential theory and boundary theory. It is a discussion
of relations among what might be called the descriptive quantities
associated with Markov chains-probabilities of events and means of
random variables that give insight into the behavior of the chains.
The approach, by means of infinite matrices, simplifies the
notation, shortens statements and proofs of theorems, and often
suggests new results. This second edition includes the new chapter,
Introduction to Random Fields, written by David Griffeath.
