Analyticity of the Sinai-Ruelle-Bowen measure for a class of simple Anosov flows

摘要

We consider perturbations of the Hamiltonian flow associated with the geodesic flow on a surface with constant negative curvature. We prove that, under a small perturbation, not necessarily of Hamiltonian character, the Sinai-Ruelle-Bowen measure associated with the flow exists and is analytic in the strength of the perturbation. An explicit example of "thermostated" dissipative dynamics is considered. (c) 2007 American Institute of Physics.