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Perturbation of Ruelle resonances and Faure–Sjöstrand
anisotropic space
Volume 61, no. 1
(2020),
pp. 63–72
https://doi.org/10.33044/revuma.v61n1a03
Abstract
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 Sjöstrand 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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Published by the Unión Matemática Argentina |