Weak Gibbs Measures for Intermittent Systems and Weakly Gibbsian States in Statistical Mechanics

In this paper, we associate weak Gibbs measures for intermittent maps with non-Gibbsian weakly Gibbsian states in statistical mechanics in the sense of Dobrushin [4, 5]. We show a higher dimensional intermittent map of which the Sinai-Bowen-Ruelle measure is a weak Gibbs equilibrium state and a weakly Gibbsian state in the sense of Dobrushin admitting essential discontinuities in its conditional probabilities.