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Decay of correlations for non Hölderian dynamics. A coupling approach

Xavier Bressaud·Roberto Fernández·Antonio Galves
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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 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.

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Xavier Bressaud, Roberto Fernández, Antonio Galves. 1998-06-23. Decay of correlations for non Hölderian dynamics. A coupling approach. https://arxiv.org/abs/math/9806132

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