Markov fields over countable partially ordered sets : extrema and splitting

Markov fields over countable partially ordered sets : extrema and splitting / I.V. Evstigneev, P.E. Greenwood.

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Bibliographic Details
Main Author:	Evstigneev, I. V.
Other Authors:	Greenwood, P. E., 1937-
Format:	eBook
Language:	English
Published:	Providence, R.I. : American Mathematical Society, 1994.
Series:	Memoirs of the American Mathematical Society ; no. 537.
Subjects:	Markov random fields. Partially ordered sets. MATHEMATICS > Essays. MATHEMATICS > Pre-Calculus. MATHEMATICS > Reference. Markov random fields Partially ordered sets
Online Access:	Click for online access

Table of Contents:

Introduction 1. Splitting lemma 2. Honest random sets 3. Splitting random sets. Constructions of splitting random elements 4. Markov systems and their transformations 5. Shift invariance 6. Some special partially ordered sets and Markov fields 7. Ferry problem 8. The linearly ordered case 9. Fibres 10. Cracks and splitting random elements 11. Transformations of fields indexed by contours 12. Bibliographical notes.