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Tr. Mat. Inst. Steklova, 2019, Volume 305, Pages 197–210 (Mi tm4017)  

The Rotation Number Integer Quantization Effect in Braid Groups

A. V. Malyutinab

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, nab. Fontanki 27, St. Petersburg, 191023 Russia
b St. Petersburg State University, Universitetskaya nab. 7–9, St. Petersburg, 199034 Russia

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.

Funding Agency Grant Number
Russian Foundation for Basic Research 16-01-00609
The work was supported by the Russian Foundation for Basic Research, project no. 16-01-00609.


DOI: https://doi.org/10.4213/tm4017

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English version:
Proceedings of the Steklov Institute of Mathematics, 2019, 305, 182–194

Bibliographic databases:

UDC: 512.54+515.162.8+517.925.7
Received: September 15, 2018
Revised: February 24, 2019
Accepted: February 24, 2019

Citation: A. V. Malyutin, “The Rotation Number Integer Quantization Effect in Braid Groups”, Algebraic topology, combinatorics, and mathematical physics, Collected papers. Dedicated to Victor Matveevich Buchstaber, Corresponding Member of the Russian Academy of Sciences, on the occasion of his 75th birthday, Tr. Mat. Inst. Steklova, 305, Steklov Math. Inst. RAS, Moscow, 2019, 197–210; Proc. Steklov Inst. Math., 305 (2019), 182–194

Citation in format AMSBIB
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\by A.~V.~Malyutin
\paper The Rotation Number Integer Quantization Effect in Braid Groups
\inbook Algebraic topology, combinatorics, and mathematical physics
\bookinfo Collected papers. Dedicated to Victor Matveevich Buchstaber, Corresponding Member of the Russian Academy of Sciences, on the occasion of his 75th birthday
\serial Tr. Mat. Inst. Steklova
\yr 2019
\vol 305
\pages 197--210
\publ Steklov Math. Inst. RAS
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4017}
\crossref{https://doi.org/10.4213/tm4017}
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\jour Proc. Steklov Inst. Math.
\yr 2019
\vol 305
\pages 182--194
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  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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