Decay of correlations for non H\"{o}lderian dynamics. A coupling approach
Bressaud, Xavier ; Fernández, Roberto ; Galves, Antonio
arXiv, 9806132 / Harvested from arXiv
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 H\"{o}lder 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.
Publié le : 1998-06-23
Classification:  Mathematics - Probability,  Mathematical Physics,  60K35
@article{9806132,
     author = {Bressaud, Xavier and Fern\'andez, Roberto and Galves, Antonio},
     title = {Decay of correlations for non H\"{o}lderian dynamics. A coupling
  approach},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9806132}
}
Bressaud, Xavier; Fernández, Roberto; Galves, Antonio. Decay of correlations for non H\"{o}lderian dynamics. A coupling
  approach. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9806132/