caa a22 4500 467910987 CHVBK 20180406152849.0 cr unu---uuuuu 170328e20061001xx s 000 0 eng 10.1007/s11232-006-0120-7 doi (NATIONALLICENCE)springer-10.1007/s11232-006-0120-7 Gibbs measures for the SOS model with four states on a Cayley tree [Elektronische Daten] [U. Rozikov, Sh. Shoyusupov] We analyze the SOS (solid-on-solid) model with spins 0, 1, 2, 3 on a Cayley tree of order k ≥ 1. We consider translation-invariant and periodic splitting Gibbs measures for this model. The majority of the constructed Gibbs measures are mirror symmetric. Springer Science+Business Media, Inc., 2006 Cayley tree nationallicence configuration nationallicence Gibbs measure nationallicence periodic Gibbs measure nationallicence Rozikov U. Institute of Mathematics, Uzbek Academy of Sciences, Tashkent, Uzbekistan aut Shoyusupov Sh Institute of Mathematics, Uzbek Academy of Sciences, Tashkent, Uzbekistan aut Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 149/1(2006-10-01), 1312-1323 0040-5779 149:1<1312 2006 149 11232 https://doi.org/10.1007/s11232-006-0120-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-006-0120-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Rozikov U. Institute of Mathematics, Uzbek Academy of Sciences, Tashkent, Uzbekistan aut NATIONALLICENCE 700 1- Shoyusupov Sh Institute of Mathematics, Uzbek Academy of Sciences, Tashkent, Uzbekistan aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 149/1(2006-10-01), 1312-1323 0040-5779 149:1<1312 2006 149 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer