Email this article The Rotation Number Integer Quantization Effect in Braid Groups
- Authors: Malyutin A.V.1,2
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Affiliations:
- St. Petersburg Department of Steklov Mathematical Institute
- St. Petersburg State University
- Issue: Vol 305, No 1 (2019)
- Pages: 182-194
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175812
- DOI: https://doi.org/10.1134/S0081543819030106
- ID: 175812
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Abstract
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.
About the authors
A. V. Malyutin
St. Petersburg Department of Steklov Mathematical Institute; St. Petersburg State University
Author for correspondence.
Email: malyutin@pdmi.ras.ru
Russian Federation, nab. Fontanki 27, St. Petersburg, 191023; Universitetskaya nab. 7-9, St. Petersburg, 199034
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