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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2019, Volume 305, Pages 197–210
DOI: https://doi.org/10.4213/tm4017 (Mi tm4017) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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
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DOI: https://doi.org/10.4213/tm4017
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.
Received: September 15, 2018
Revised: February 24, 2019
Accepted: February 24, 2019
English version:
Proceedings of the Steklov Institute of Mathematics, 2019, Volume 305, Pages 182–194
DOI: https://doi.org/10.1134/S0081543819030106
Bibliographic databases:
Document Type: Article
UDC: 512.54+515.162.8+517.925.7
Language: Russian
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, Trudy 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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\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 Trudy Mat. Inst. Steklova
\yr 2019
\vol 305
\pages 197--210
\publ Steklov Math. Inst. RAS
\publaddr Moscow
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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