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arXiv · 2404.04410

On the linearization of analytic diffeomorphisms of the torus

Fernando Argentieri·Livia Corsi
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Abstract

We provide an arithmetic condition weaker then the Bryuno condition for which it is possible to apply a KAM scheme in dimension greater then one. The KAM scheme will be provided in the setting of linearization of analytic diffeomorphisms of the torus that are close to a rotation.

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Fernando Argentieri, Livia Corsi. 2024-04-05. On the linearization of analytic diffeomorphisms of the torus. https://arxiv.org/abs/2404.04410

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