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pro vyhledávání: '"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
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