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Decay of correlations for non Hölderian dynamics. A coupling approach. (English) Zbl 0917.58017

Summary: We present an upper bound on the mixing rate of the equilibrium state of a dynamical system defined by the one-sided shift and a non Hölder 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.

MSC:

37A99 Ergodic theory
60G10 Stationary stochastic processes
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