Non-Linear Generalization of the DLR Equations: $q$-Specifications and $q$-Equilibrium Measures

F. H. Haydarov, B. A. Omirov, U. A. Rozikov

We introduce a {\it non-linear} generalization of the classical Dobrushin-Lanford-Ruelle (DLR) framework by developing the concept of a $q$-specification and the associated $q$-equ…