We prove strong spectral estimates for Ruelle transfer operators for arbitrary C2 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. © 2013 Académie des sciences.
|Journal||ACADEMIE DES SCIENCES. COMPTES RENDUS. MATHEMATIQUE|
|Publication status||Published - 2013|