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Markov fields over countable partially ordered sets: extrema and splitting

About this Title

I. V. Evstigneev and P. E. Greenwood

Publication: Memoirs of the American Mathematical Society
Publication Year: 1994; Volume 112, Number 537
ISBNs: 978-0-8218-2597-6 (print); 978-1-4704-0116-0 (online)
DOI: https://doi.org/10.1090/memo/0537
MathSciNet review: 1221038
MSC: Primary 60G60

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Table of Contents

Chapters

• 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