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 Electronic Journal of Probability > Vol. 4 (1999) > Paper 3 open journal systems 


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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Pages: 1-19

Published on: March 4, 1999
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Electronic Journal of Probability. ISSN: 1083-6489