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### Published volumes

##### 1936-1944
Perturbation of Ruelle resonances and Faure–Sjöstrand anisotropic space
Volume 61, no. 1 (2020), pp. 63–72

### 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.