Мақола

2 NON-UNIQUENESS OF GIBBS MEASURE FOR MODELS WITH UNCOUNTABLE SET OF SPIN VALUES ON A CAYLEY TREE

Yu. Kh. EshkabilovNational University of Uzbekistan, Tashkent, UzbekistanF. H. HaydarovNational University of Uzbekistan, Tashkent, UzbekistanU. A. Rozikov

2016en

ABI

Аннотация

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 $k\geq 2$. We prove that each of the constructed model has at least two translational-invariant Gibbs measures.

Мавзулар

Theoretical and Computational Physics Stochastic processes and statistical mechanics Markov Chains and Monte Carlo Methods

Иқтибослар ва манбалар

20 та иқтибос 13 та фойдаланилган манба

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