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With the first edition out of print, we decided to arrange for
republi cation of Denumerrible Markov Ohains with additional
bibliographic material. The new edition contains a section
Additional Notes that indicates some of the developments in Markov
chain theory over the last ten years. As in the first edition and
for the same reasons, we have resisted the temptation to follow the
theory in directions that deal with uncountable state spaces or
continuous time. A section entitled Additional References
complements the Additional Notes. J. W. Pitman pointed out an error
in Theorem 9-53 of the first edition, which we have corrected. More
detail about the correction appears in the Additional Notes. Aside
from this change, we have left intact the text of the first eleven
chapters. The second edition contains a twelfth chapter, written by
David Griffeath, on Markov random fields. We are grateful to Ted
Cox for his help in preparing this material. Notes for the chapter
appear in the section Additional Notes. J.G.K., J.L.S., A.W.K."
With the first edition out of print, we decided to arrange for
republi cation of Denumerrible Markov Ohains with additional
bibliographic material. The new edition contains a section
Additional Notes that indicates some of the developments in Markov
chain theory over the last ten years. As in the first edition and
for the same reasons, we have resisted the temptation to follow the
theory in directions that deal with uncountable state spaces or
continuous time. A section entitled Additional References
complements the Additional Notes. J. W. Pitman pointed out an error
in Theorem 9-53 of the first edition, which we have corrected. More
detail about the correction appears in the Additional Notes. Aside
from this change, we have left intact the text of the first eleven
chapters. The second edition contains a twelfth chapter, written by
David Griffeath, on Markov random fields. We are grateful to Ted
Cox for his help in preparing this material. Notes for the chapter
appear in the section Additional Notes. J.G.K., J.L.S., A.W.K.
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