Scientific Bulletin of Namangan State University


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


Last Page



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.





To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.