Markov Fields over Countable Partially Ordered Sets : Extrema and Splitting.
- 1st ed.
- 1 online resource (113 pages)
- Memoirs of the American Mathematical Society ; v.112 .
- Memoirs of the American Mathematical Society .
Intro -- 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 -- References.