Markov Fields over Countable Partially Ordered Sets: Extrema and Splitting - Couverture souple

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

Couverture souple

ISBN 10 : 0821825976 ISBN 13 : 9780821825976

Editeur : American Mathematical Society, 1994

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 ysis 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.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 1994
• Langue: anglais
• ISBN 10: 0821825976
• ISBN 13: 9780821825976
• Reliure: Broché
• Nombre de pages: 100
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible