Bressaud, X., Fern\'andez, R., Galves, A.
Decay of correlations for non H\"{o}lderian dynamics. A coupling
approach
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ABSTRACT. We present an upper bound on the mixing rate of the equilibrium state
of a dynamical systems defined by the one-sided shift and a non
H\"{o}lder potential of summable variations. The bound follows from
an estimation of the relaxation speed of chains with complete
connections with summable decay, which is obtained via a explicit
coupling between pairs of chains with different histories.