Asymptotic decoupling and weak Gibbs measures for finite alphabet shift spaces

Pfister, C-ESullivan, W. G.2020-08-272020-08-272020-08-272020-09-0110.1088/1361-6544/ab8fb7https://infoscience.epfl.ch/handle/20.500.14299/171145WOS:000558934100001For the spaceXin a large class of finite alphabet shift spaces (lattice models) and the class of functionsfwith bounded total oscillations, we prove that each equilibrium measure nu atf=phi is a weak Gibbs measures for phi-P(phi). In addition, the empirical measures satisfy a full large deviations principle for (X,nu).Mathematics, AppliedPhysics, MathematicalMathematicsPhysicslarge deviationssymbolic dynamicsthermodynamic formalismequilibrium stateslattice systemsinteracting random processesphase-transitionAsymptotic decoupling and weak Gibbs measures for finite alphabet shift spacestext::journal::journal article::research article