Distributions of points on non-extensible closed curves in \(\mathbb{R}^3\) realizing maximum energies. (English) Zbl 1523.57005
Reviewer: Claus Ernst (Bowling Green)
Found 32 Documents (Results 1–32)
Möbius-invariant self-avoidance energies for non-smooth sets of arbitrary dimension and co-dimension. (English) Zbl 1521.28002
Reviewer: Małgorzata Terepeta (Łódź)
On O’Hara knot energies. I: Regularity for critical knots. (English) Zbl 1511.57002
Reviewer: Claus Ernst (Bowling Green)
On the regularity of critical points for O’Hara’s knot energies: from smoothness to analyticity. (English) Zbl 1490.57006
Reviewer: Claus Ernst (Bowling Green)
Decomposition of generalized O’Hara’s energies. (English) Zbl 1481.53004
Reviewer: Sheng Bai (Beijing)
Variational formulae and estimates of O’Hara’s knot energies. (English) Zbl 1441.53001
Reviewer: Niels Lubbes (Linz)
The gradient flow of the Möbius energy: \(\epsilon\)-regularity and consequences. (English) Zbl 1440.57001
Reviewer: Claus Ernst (Bowling Green)
Optimization of the lowest eigenvalue for leaky star graphs. (English) Zbl 1461.35169
Bonetto, Federico (ed.) et al., Mathematical problems in quantum physics. QMATH13: Conference on mathematical results in quantum physics, Georgia Institute of Technology, Atlanta, GA, USA, October 8–11, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 717, 187-196 (2018).
Symmetric critical knots for O’Hara’s energies. (English) Zbl 1398.57013
Reviewer: Oleg Karpenkov (Liverpool)
MSC:
57M25
53A04
The gradient flow of O’Hara’s knot energies. (English) Zbl 1398.53071
Reviewer: Oleg Karpenkov (Liverpool)
Total diameter and area of closed submanifolds. (English) Zbl 1330.53010
Reviewer: Jan Kurek (Lublin)
Modeling repulsive forces on fibres via knot energies. (English) Zbl 1412.92080
MSC:
92C40
57M25
Discrete Möbius energy. (English) Zbl 1312.49054
Reviewer: Oleg Karpenkov (Liverpool)
On some knot energies involving Menger curvature. (English) Zbl 1282.49034
Reviewer: Vasile Oproiu (Iaşi)
Stationary points of O’Hara’s knot energies. (English) Zbl 1271.57007
Reviewer: Oleg Karpenkov (Liverpool)
Repulsive knot energies and pseudodifferential calculus for O’Hara’s knot energy family \(E^{(\alpha )}, \alpha \in [2, 3)\). (English) Zbl 1248.42009
Reviewer: Oleg Karpenkov (Graz)
Variations on R. Schwartz’s inequality for the Schwarzian derivative. (English) Zbl 1243.52006
Reviewer: Horst Martini (Chemnitz)
On geometric perturbations of critical Schrödinger operators with a surface interaction. (English) Zbl 1300.81034
On rectifiable curves with \(L^{p}\)-bounds on global curvature: self-avoidance, regularity, and minimizing knots. (English) Zbl 1354.49028
On the geometric dilation of closed curves, graphs, and point sets. (English) Zbl 1115.65018
Reviewer: Ljubiša Kocić
MSC:
65D18
Möbius energy of graphs. (English. Russian original) Zbl 1141.57302
Math. Notes 79, No. 1, 134-138 (2006); translation from Mat. Zametki 79, No. 1, 146-149 (2006).
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