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1999 Decay of Correlations for Non-Hölderian Dynamics. A Coupling Approach
Xavier Bressaud, Roberto Fernandez, Antonio Galves
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Electron. J. Probab. 4: 1-19 (1999). DOI: 10.1214/EJP.v4-40


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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Xavier Bressaud. Roberto Fernandez. Antonio Galves. "Decay of Correlations for Non-Hölderian Dynamics. A Coupling Approach." Electron. J. Probab. 4 1 - 19, 1999.


Accepted: 4 March 1999; Published: 1999
First available in Project Euclid: 4 March 2016

zbMATH: 0917.58017
MathSciNet: MR1675304
Digital Object Identifier: 10.1214/EJP.v4-40

Primary: 58F11
Secondary: 60G10

Keywords: chains with complete connections , coupling methods , dynamical systems , mixing rate , non-Hölder dynamics , relaxation speed

Vol.4 • 1999
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