Home > NAMDU > Vol. 1 (2019) > Iss. 6
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.
Erratum
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Recommended Citation
Kodirova, Nazokat Abdulvohidоvna
(2019)
"WEAKLY PERIODIC GIBBS MEASURES FOR THE POTTS MODEL
WITH THREE STATES ON A CAYLEY TREE,"
Scientific Bulletin of Namangan State University: Vol. 1
:
Iss.
6
, Article 6.
Available at:
https://uzjournals.edu.uz/namdu/vol1/iss6/6