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arXiv · 1605.06493

Generic non-trivial resonances for Anosov diffeomorphisms

Alexander Adam
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Abstract

We study real analytic perturbations of hyperbolic linear automorphisms on the 2-torus. The Koopman and the transfer operator are nuclear of order 0 when acting on a suitable Hilbert space. We show the generic existence of non-trivial Ruelle resonances for both operators. We prove that some of the perturbations preserve the volume and some of them do not.

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Alexander Adam. 2016-05-20. Generic non-trivial resonances for Anosov diffeomorphisms. https://doi.org/10.1088/1361-6544%2Faa59a9

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