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

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.

arXiv comment12 pages. arXiv admin note: text overlap with arXiv:0711.0830

References in corpus (2)

• Multidimensional Gauss Reduction Theory for conjugacy classes of SL(n,Z)
• On the hyperbolic automorphisms of the 2-torus and their Markov partitions