Evstigneev, I. V.

Markov fields over countable partially ordered sets : extrema and splitting / [electronic resource] I.V. Evstigneev, P.E. Greenwood. - Providence, R.I. : American Mathematical Society, 1994. - 1 online resource (vi, 100 p.) - Memoirs of the American Mathematical Society, v. 537 0065-9266 (print); 1947-6221 (online); .

"November 1994, vol. 112, no.537 (first of 4 numbers)."

Includes bibliographical references (p. 97-100).

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

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Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012


Mode of access : World Wide Web

9781470401160 (online)


Markov random fields.
Partially ordered sets.

QA3 QA274.45 / .A57 no. 537

510 s 519.2
The Institute of Mathematical Sciences, Chennai, India

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