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math-ph2024
Gibbs measures for hardcore-SOS models on Cayley trees
Benedikt Jahnel, Utkir Rozikov
We investigate the finite-state -solid-on-solid model, for , on Cayley trees of order and establish a system of functional equations where each solution corr…
math-ph2024
Three-state -SOS models on binary Cayley trees
Benedikt Jahnel, Utkir Rozikov
We consider a version of the solid-on-solid model on the Cayley tree of order two in which vertices carry spins of value or and the pairwise interaction of neighboring ve…