Scientific Bulletin of Namangan State University


We study the hard-core model on the Cayley tree. For this model we find new conditions of uniqueness of weakly periodic Gibbs measures for a normal divisor of index four

First Page


Last Page



1. X.O. Georgi. Gibbsovskie meri i fazovie perexodi. Moskva. "Mir" 1992. 2. C. J. Preston. Gibbs States on Countable Sets, Cambridge Tracts Math., 68, Cambridge Univ. Press, Cambridge, 1974. 3. YA. G. Sinay. Teoriya fazovix perexodov. Strogie rezultati, Moskva. "Nauka " 1980. 4. U.A. Rozikov. Gibbs measures on Cayley trees. World Scientific -2013. 5. R.M. Xakimov. Slabo periodicheskie meri Gibbsa dlya NS-modeli dlya normalnogo delitelya indeksa chetire, UkrMJ, 2015, t. 67, No 10, str.1409-1422.





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.