We establish upper bounds on the rate of decay of correlations of tower systems with summable variation of the Jacobian and integrable return time. That is, we consider situations in which the Jacobian is not Holder and the return time is only subexponentially decaying. We obtain a subexponential bound on the correlations, which is essentially the slowest of the decays of the variation of the Jacobian and of the return time.
Publié le : 2004-05-07
Classification:
equilibrium states,
decay of correlations,
transfer operator,
tower extension,
absolutely continuous invariant measures,
37A25,
[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]
@article{hal-00001547,
author = {Buzzi, Jerome and Maume-Deschamps, V\'eronique},
title = {Decay of correlations on towers with non-Holder continuous Jacobian and non-exponential return time},
journal = {HAL},
volume = {2004},
number = {0},
year = {2004},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00001547}
}
Buzzi, Jerome; Maume-Deschamps, Véronique. Decay of correlations on towers with non-Holder continuous Jacobian and non-exponential return time. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00001547/