Decay of Correlations for Non-Hölderian Dynamics. ACoupling Approach

Xavier Bressaud (Institut de Mathématiques de Luminy)
Roberto Fernandez (Universidade de Sao Paulo)
Antonio Galves (Universidade de Sao 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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Pages: 1-19

Publication Date: March 4, 1999

DOI: 10.1214/EJP.v4-40

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