- 94-13 Liverani Carlangelo
- Decay of Correlations
Jan 20, 94
(auto. generated ps),
of related papers
Abstract. This paper offers a new unified approach for studing statistical properties
of hyperbolic dynamical systems and their small random perturbations. The
approach is based on a technique that permits an investigation of the
convergence of a semigroup of operators by using an adapted Hilbert metric.
An exponential rate of decay of correlations is proven in several classes
of examples (including some hyperbolic billiards).