The KAM theorem through Dirichlet's box and Khintchine's transference principles

Abed Bounemoura

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arXiv · 1303.3555

The KAM theorem through Dirichlet's box and Khintchine's transference principles

Abed Bounemoura

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Abstract

In this paper, we give a new proof of the classical KAM theorem which avoids small divisors and relies on two basic principles of Diophantine approximation: Dirichlet's box and Khintchine transference principles.

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Abed Bounemoura. 2013-03-14. The KAM theorem through Dirichlet's box and Khintchine's transference principles. https://arxiv.org/abs/1303.3555

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