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We study a spin-flip model with Kac type interaction, in the presence of arandom field given by i.i.d. bounded random variables. The system, spatiallyinhomogeneous, evolves according to a non conservative (Glauber) dynamics. Weshow an almost sure (with respect to the random field) large deviationsprinciple for the empirical magnetizations of this process. The rate functionaldepends on the statistical properties of the external random field, it is lowersemicontinuous with compact level sets.

Quenched large deviations for Glauber evolution with Kac interaction and Random Field