Decay of correlations on non-Hölder observables. (English) Zbl 1231.37022
Summary: This paper is devoted to investigating decay of correlations for hyperbolic systems with singularities on general continuous observables. We study the dependence of decay of correlations on the regularity of observables by the coupling method.
MSC:
| 37D50 | Hyperbolic systems with singularities (billiards, etc.) (MSC2010) |
| 37A25 | Ergodicity, mixing, rates of mixing |
| 37N20 | Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) |
