Gradient Gibbs measures for the SOS model with integer spin values on a Cayley tree
G. I. BotirovInstitute of Mathematics, Academy of Science of Uzbekistan, Tashkent, UzbekistanF. H. HaydarovNational University of Uzbekistan, Tashkent, Uzbekistan
ABI
Annotatsiya
Abstract In the present paper we continue the investigation from Bovier and Külske (1996 J. Stat. Phys. 83 751–59) and consider the SOS (solid-on-solid) model on the Cayley tree of order k ⩾ 2. In the ferromagnetic SOS case on the Cayley tree, we find three solutions to a class of period-4 height-periodic boundary law equations and these boundary laws define up to three periodic gradient Gibbs measures.
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