Perturbation of Ruelle resonances and Faure–Sjöstrand anisotropic space
Résumé
Given an Anosov vector field X-0, all sufficiently close vector fields are also of Anosov type. In this note, we check that the anisotropic spaces described by Faure and Sjostrand and by Dyatlov and Zworski can be chosen adapted to any smooth vector field sufficiently close to X-0 in C-1 norm
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