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p-adic Gibbs measures and Markov random fields on countable graphs.
- Source :
-
Theoretical & Mathematical Physics . Apr2013, Vol. 175 Issue 1, p518-525. 8p. - Publication Year :
- 2013
-
Abstract
- The notions of the Gibbs measure and of the Markov random field are known to coincide in the real case. But in the p-adic case, the class of p-adic Markov random fields is broader than that of p-adic Gibbs measures. We construct p-adic Markov random fields (on finite graphs) that are not p-adic Gibbs measures. We define a p-adic Markov random field on countable graphs and show that the set of such fields is a nonempty closed subspace in the set of all p-adic probability measures [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00405779
- Volume :
- 175
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Theoretical & Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 87498318
- Full Text :
- https://doi.org/10.1007/s11232-013-0042-0