Translation-invariant Gibbs measures for a model with logarithmic potential on a Cayley tree
Yu. Kh. ÈshkabilovNational University of Uzbekistan, Tashkent, UzbekistanSh.P. BobonazarovTashkent Institute of Irrigation and Melioration, Tashkent, UzbekistanR.I. TeshaboevTermez State University, Termez, Uzbekistan
Ochiq kirishBronza
ABI
Annotatsiya
In this paper, we consider a model with logarithmical potential and with the set [0, 1] of spin values, on a Cayley tree k of the order k. In the case k = 2, 3, we shall prove that, there is a unique translation-invariant splitting Gibbs measure for this model. For the case k = 4, we show that there are three translation-invariant Gibbs measures for this model.
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