The Rotation Number Integer Quantization Effect in Braid Groups

A. V. Malyutin

Informatics and Automation, Algebraic topology, combinatorics, and mathematical physics, Tome 305 (2019), pp. 197-210.

Résumé

V. M. Buchstaber, O. V. Karpov, and S. I. Tertychnyi initiated the study of the rotation number integer quantization effect for a class of dynamical systems on a torus that includes dynamical systems modeling the dynamics of the Josephson junction. Focusing on this effect, we initiate the study of a similar rotation number quantization effect for a class of groups acting on the circle, including Artin's braid groups.

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