Generic non-trivial resonances for Anosov diffeomorphisms
Dynamical Systems
2018-09-12 v1
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.
Keywords
Cite
@article{arxiv.1605.06493,
title = {Generic non-trivial resonances for Anosov diffeomorphisms},
author = {Alexander Adam},
journal= {arXiv preprint arXiv:1605.06493},
year = {2018}
}
Comments
19 pages, 1 figure