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Scientific Bulletin of Namangan State University

Abstract

We study Potts model on a Cayley tree of order two. Under some conditions for parameters proved that all weakly periodic Gibbs measures are translation invariant.

First Page

34

Last Page

42

References

1. U.A.Rozikov, Gibbs measures on Cayley tree. World Scientific. 2013. 2. N.N.Ganixojaev, Roziqov U.А. ТМF, 1997, Т111, N1, с.109-117. 3. Rozikov U.A., Khakimov R.M. ТМF, 2012, Т173, N1, с.1377-1386. 4. М.М.Rahmatullayev, Ukr.mat.jurnal, 2016, Т68, N4, с.529-541. 5. M.M.Rahmatullaev, Jurnal of Math. Phys., Ahal, Geom, 2016, V12, N4, pp.302-314. 6. M.M.Rahmatullaev, ТМF, 2014, Т180, N3, с.307-317. 7. N.N.Ganixojaev, ТМF, 1990, Т85, N2, с.163-175.

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