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Menger curvature as a knot energy - MaRDI portal

Menger curvature as a knot energy (Q512286)

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scientific article; zbMATH DE number 6688691

Language	Label	Description	Also known as
English	Menger curvature as a knot energy	scientific article; zbMATH DE number 6688691

Statements

scholarly article

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Menger curvature as a knot energy (English)

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Paweł Strzelecki

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Heiko von der Mosel

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Physics Reports

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publication date

24 February 2017

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zbMATH Keywords

Menger curvature

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knot energies

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MaRDI profile type

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full work available at URL

https://doi.org/10.1016/j.physrep.2013.05.003

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Reconfigurable Knots and Links in Chiral Nematic Colloids

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Following knots down their energy gradients

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Global curvature, thickness, and the ideal shapes of knots

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Möbius energy of knots and unknots

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Knot Tightening by Constrained Gradient Descent

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Energy of a knot

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Analytic capacity, Calderón-Zygmund operators, and rectifiability

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On the minimum ropelength of knots and links

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Global curvature and self-contact of nonlinearly elastic curves and rods

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EXISTENCE OF IDEAL KNOTS

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A constructive approach to modelling the tight shapes of some linked structures

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Criticality for the Gehring link problem

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What are the longest ropes on the unit sphere?

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On Sphere-Filling Ropes

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Characterization of ideal knots

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Symmetric criticality for tight knots

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Euler-Lagrange equations for nonlinearly elastic rods with self-contact

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Regularizing and self-avoidance effects of integral Menger curvature

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Minimal Hölder regularity implying finiteness of integral Menger curvature

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A note on integral Menger curvature for curves

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Sharp boundedness and regularizing effects of the integral Menger curvature for submanifolds

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Rectifiable sets and the traveling salesman problem

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TANGENT-POINT SELF-AVOIDANCE ENERGIES FOR CURVES

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Curvature Measures

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Energy functionals of knots. II

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Differential Topology

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On rectifiable curves with \(L^{p}\)-bounds on global curvature: self-avoidance, regularity, and minimizing knots

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Sur la courbure totale d'une courbe gauche faisant un nœud

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On the total curvature of knots

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Self-interactions of strands and sheets

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Thickness and crossing number of knots

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Thickness of knots

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Global curvature for rectifiable loops

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KNOTS OF CONSTANT CURVATURE

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Repulsive knot energies and pseudodifferential calculus for O'Hara's knot energy family \(E^{(\alpha )}, \alpha \in [2, 3)\)

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Regularity theory for the Möbius energy

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The gradient flow of the Möbius energy near local minimizers

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The gradient flow of O'Hara's knot energies

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Menger curvature and rectifiability

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Integral Menger curvature for surfaces

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High-dimensional Menger-type curvatures. I: Geometric multipoles and multiscale inequalities

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High-dimensional Menger-type curvatures. II: \(d\)-separation and a menagerie of curvatures

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Tangent-point repulsive potentials for a class of non-smooth \(m\)-dimensional sets in \(\mathbb R^n\). I: smoothing and self-avoidance effects

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Geometric Sobolev-like embedding using high-dimensional Menger-like curvature

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Diffeomorphism finiteness for manifolds with Ricci curvature and \(L^{n/2}\)-norm of curvature bounded

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Global curvature for surfaces and area minimization under a thickness constraint

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Non‐recursive functions, knots “with thick ropes,” and self‐clenching “thick” hyperspheres

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Characterizing \(W^{2,p}\) submanifolds by \(p\)-integrability of global curvatures

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.PHYSREP.2013.05.003

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Sitelinks

Mathematics(1 entry)

mardi Publication:512286

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