Výsledky vyhledávání - "A. Sossinsky"

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On the 80th Birthday of Dmitry Borisovich Fuchs

Autor: Fialowski, Alice, Fuchs, Ekaterina, Fuchs, Elena, Khesin, Boris, Kirillov, Alexandre, Malikov, Fedor, Ovsienko, Valentin, Sossinsky, Alexei, Tabachnikov, Serge

Publikováno v: SIGMA 16 (2020), 023, 17 pages

This article is a collection of several memories for a special issue of SIGMA devoted to Dmitry Borisovich Fuchs.

Externí odkaz: http://arxiv.org/abs/2004.03270

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Euler elasticae in the plane and the Whitney--Graustein theorem

Autor: Avvakumov, Sergey, Karpenkov, Oleg, Sossinsky, Alexey

In this paper, we apply classical energy principles to Euler elasticae, i.e., closed C^2 curves in the plane supplied with the Euler functional U (the integral of the square of the curvature along the curve). We study the critical points of U, find t

Externí odkaz: http://arxiv.org/abs/1303.0443

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Energies of knot diagrams

Autor: Karpenkov, Oleg, Sossinsky, Alexey

We introduce and begin the study of new knot energies defined on knot diagrams. Physically, they model the internal energy of thin metallic solid tori squeezed between two parallel planes. Thus the knots considered can perform the second and third Re

Externí odkaz: http://arxiv.org/abs/1106.3414

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Mechanical Normal Forms of Knots and Flat Knots

Autor: Sossinsky, A. B.

A new type of knot energy is presented via real life experiments involving a thin resilient metallic tube. Knotted in different ways, the device mechanically acquires a uniquely determined (up to isometry) normal form at least when the original knot

Externí odkaz: http://arxiv.org/abs/1011.4891

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