Non-uniqueness of Gibbs Measure for Models with Uncountable Set of Spin Values on a Cayley Tree View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2012-05-17

AUTHORS

Y. K. Eshkabilov, F. H. Haydarov, U. A. Rozikov

ABSTRACT

In this paper we construct several models with nearest-neighbor interactions and with the set [0,1] of spin values, on a Cayley tree of order k≥2. We prove that each of the constructed model has at least two translational-invariant Gibbs measures.

PAGES

779-794

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10955-012-0494-x

DOI

http://dx.doi.org/10.1007/s10955-012-0494-x

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1033373089


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