arXiv subjects

S. Aranson

Publications and source records attributed to S. Aranson.

2 recordsLinked to original sources

arXiv2004

Proof of the Morse conjecture for analytic flows on orientable surfaces

In 1946, M. Morse proposed a conjecture that an analytic topologically transitive systems is metrically transitive. We prove this Morse conjecture for flows on a closed orientable surface of negative Euler characteristic. As a consequence, the Morse conjecture is true for highly transitive flows on non-orientable surfaces.

math.DS↗

arXiv2004

On arithmetical and dynamical properties of Lorentz maps of the torus

We proved that any Lorentz transformation of 2-torus is Anosov automorphism. One completely describes admissible parameters of Lorentz transformations and their arithmetical properties. One proved that an admissible speed light parameter has a countable spectra accumulating to this parameter.

math.DS↗