Geometric Continued Fractions as Invariants in the Topological Classification of Anosov Diffeomorphisms of Tori

Grisha Kolutsky

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arXiv · 0902.0661

Geometric Continued Fractions as Invariants in the Topological Classification of Anosov Diffeomorphisms of Tori

Grisha Kolutsky

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Abstract

We show how an object from the combinatorially geometric version of the analytical number theory, namely geometric continued fractions, appears in the classical smooth dynamics, namely in the problem on the topological classification of Anosov diffeomorphisms of tori.

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Grisha Kolutsky. 2009-02-04. Geometric Continued Fractions as Invariants in the Topological Classification of Anosov Diffeomorphisms of Tori. https://arxiv.org/abs/0902.0661

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