# Gradient Gibbs measures of an SOS model with alternating magnetism on Cayley trees

@inproceedings{Ganikhodjaev2022GradientGM, title={Gradient Gibbs measures of an SOS model with alternating magnetism on Cayley trees}, author={Nasir Ganikhodjaev and N. M. Khatamov and Utkir A. Rozikov}, year={2022} }

. The work is devoted to gradient Gibbs measures (GGMs) of a SOS model with countable set Z of spin values and having alternating magnetism on Cayley trees. This model is deﬁned by a nearest-neighbor gradient interaction potential. Using Külske-Schriever argument, based on boundary law equations, we give several q -height-periodic translations invariant GGMs for q = 2 , 3 , 4 .

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