Analyticity of the SRB measure for a class of simple Anosov flows
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چکیده
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 SRB measure associated with the flow exists and is analytic in the strength of the perturbation. An explicit example of “thermostatted” dissipative dynamics is considered.
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تاریخ انتشار 2006