Ruelle operators and decay of correlations for contact Anosov flows (Q386662)

From the authors' summary: ''We prove strong spectral estimates for Ruelle transfer operators for arbitrary \(C^ 2\) contact Anosov flows. As a consequence of this we obtain: (a) existence of a non-zero analytic continuation of the Ruelle zeta function with a pole at the entropy in a vertical strip containing the entropy in its interior; (b) a Prime Orbit Theorem with an exponentially small error; (c) exponential decay of correlations for Hölder continuous observables with respect to any Gibbs measure.''