Markov Fields over Countable Partially Ordered Sets: Extrema and Splitting
Author | : I. V. Evstigneev |
Publisher | : American Mathematical Soc. |
Total Pages | : 113 |
Release | : 1994 |
ISBN-10 | : 9780821825976 |
ISBN-13 | : 0821825976 |
Rating | : 4/5 (76 Downloads) |
Download or read book Markov Fields over Countable Partially Ordered Sets: Extrema and Splitting written by I. V. Evstigneev and published by American Mathematical Soc.. This book was released on 1994 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: Various notions of the Markov property relative to a partial ordering have been proposed by both physicists and mathematicians. This work develops techniques for stying Markov fields on partially ordered sets. We introduce random transformations of the index set which preserves 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.