Markov fields over countable partially ordered sets. Extrema and splitting.

Evstigneev, I. V.; Greenwood, P. E.

ISBN 10: 0821825976 / ISBN 13: 9780821825976

Published by Providence, American Math. Soc, 1994

About this Item

Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-00757 9780821825976 Sprache: Englisch Gewicht in Gramm: 150.

Seller Inventory # 2484595

Bibliographic Details

• Title: Markov fields over countable partially ordered sets. Extrema and splitting.
• Publisher: Providence, American Math. Soc
• Publication Date: 1994
• Language: English
• ISBN 10: 0821825976
• ISBN 13: 9780821825976
• Binding: Softcover
• Weight: 150 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

Various notions of the Markov property relative to a partial ordering have been proposed by both physicists and mathematicians. For the most part, the analysis has focused on the study of some important, but special, examples. This work develops general techniques for studying Markov fields on partially ordered sets. The authors introduce random transformations of the index set which preserve the Markov property of the field. These transformations yield new classes of Markov fields starting from relatively simple ones. Examples include a model for crack formation and a model for the distribution of fibres in a composite material. Given the burst of popularity of random fields, this self-contained and accessible book will prove useful in the many scientific areas where random field models are appearing.