Arithmetical Theory of Anosov Diffeomorphisms

Details Arithmetical Theory of Anosov Diffeomorphisms Arithmetical Theory of Anosov Diffeomorphisms

Sep 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987rspsa.413...97v&link_type=abstract

Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Volume 413, Issue 1844, pp. 97-107

Physics

9

Scientific paper

Nineteenth century arithmetic is used to study periodic orbits of Anosov
diffeomorphisms of the two-dimensional torus. We find that the period of
the orbits, as well as their dynamical behaviour, are intimately related
to the way ideals factorize in algebraic number fields.

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