Perturbation of Ruelle resonances and Faure–Sjöstrand anisotropic space

• Autores: Yannick Guedes Bonthonneau
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 61, Nº. 1, 2020, págs. 63-72
• Idioma: inglés
• DOI: 10.33044/revuma.v61n1a03
• Enlaces
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• Resumen

  • Given an Anosov vector field X0, all sufficiently close vector fields are also of Anosov type. In this note, we check that the anisotropic spaces described by Faure and Sjöstrand and by Dyatlov and Zworski can be chosen adapted to any smooth vector field sufficiently close to X₀in C¹ norm.

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