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- Title
p-adic Gibbs measures and Markov random fields on countable graphs.
- Authors
Rozikov, U.; Khakimov, O.
- 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
- Subjects
P-adic fields; MARKOV random fields; GRAPH theory; GEOMETRICAL constructions; SET theory; SUBSPACES (Mathematics); PROBABILITY measures
- Publication
Theoretical & Mathematical Physics, 2013, Vol 175, Issue 1, p518
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1007/s11232-013-0042-0