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

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

2009-02-04

arxiv.org/abs/0902.0661v2

Mathematics

Dynamical Systems

12 pages

Scientific paper

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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