Decay of Correlations for Non-Hölderian Dynamics. A Coupling Approach
Xavier Bressaud, Institut de Mathématiques de Luminy
Roberto Fernández, Universidade de São Paulo
Antonio Galves, Universidade de São Paulo
Abstract
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.
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