Ruelle-Perron-Frobenius Spectrum for Anosov Maps.

摘要

The aim of the present paper is to extend a number of results from one dimensional dynamics based on spectral properties of the Ruelle-Perron-Frobenius operator (transfer operator, for short) to C3 Anosov diffeomorphisms on compact manifolds, which allows to develop a direct, and very powerful, operator approach to study quantitative ergodic properties of these maps.