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[18]
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Sören Bartels and Philipp Reiter. Stability of a simple scheme for the approximation of elastic knots and self-avoiding inextensible curves. Submitted, 2018. [ preprint ]
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[17]
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Simon Blatt, Philipp Reiter, and Armin Schikorra, editors. New directions in Geometric and Applied Knot Theory. De Gruyter, 2018. [ open access ]
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[16]
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Jason Cantarella, Kyle Chapman, Philipp Reiter, and Clayton Shonkwiler. Open and closed random walks with fixed edgelengths in \(\mathbb R^d\). Journal of Physics A: Mathematical and Theoretical, 51(43):434002, 2018. [ arXiv | doi ]
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[15]
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Sören Bartels, Philipp Reiter, and Johannes Riege.
A simple scheme for the approximation of self-avoiding inextensible curves.
IMA Journal of Numerical Analysis, 2017.
[ preprint | doi ]
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[14]
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Henryk Gerlach, Philipp Reiter, and Heiko von der Mosel.
The elastic trefoil is the doubly covered circle.
Arch. Rat. Mech. Anal., 225(1):89–139, 2017.
[ arXiv | doi ]
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[13]
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Paola Pozzi and Philipp Reiter.
On non-convex anisotropic surface energy
regularized via the Willmore functional: the two-dimensional graph setting.
ESAIM: COCV, 23(3):1047–1071, 2017.
[ doi ]
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[12]
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Simon Blatt, Philipp Reiter, and Armin Schikorra.
Harmonic analysis meets critical knots. Critical points of the Möbius energy are smooth.
Trans. Amer. Math. Soc., 368:6391–6438, 2016.
[ arXiv | doi ]
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[11]
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Simon Blatt and Philipp Reiter.
Towards a regularity theory for integral Menger curvature.
Ann. Acad. Sci. Fenn. Math., 40(1):149–181, 2015.
[ doi ]
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[10]
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Simon Blatt and Philipp Reiter.
Regularity theory for tangent-point energies: The non-degenerate sub-critical case.
Adv. Calc. Var., 8(2):93–116, 2015.
[ doi ]
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[9]
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Simon Blatt and Philipp Reiter. How nice are critical knots? Regularity theory for knot energies.
J. Phys.: Conf. Ser. 544 012020, 2014.
[ doi ]
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[8]
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Simon Blatt and Philipp Reiter. Modeling repulsive forces on fibres via knot energies.
Mol. Based Math. Biol., 2(1):56–72, 2014.
[ doi ]
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[7]
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Paola Pozzi and Philipp Reiter.
Willmore-type regularization of mean curvature flow in the presence of a non-convex anisotropy.
The graph setting: analysis of the stationary case and numerics for the evolution problem.
Advances in Differential Equations, 18(3–4):265–308, 2013.
[ link ]
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[6]
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Simon Blatt and Philipp Reiter.
Stationary points of O’Hara’s knot energies.
Manuscripta Math.,
40(1-2):29–50, 2013.
[ doi ]
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[5]
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Paola Pozzi and Philipp Reiter. Approximation of non-convex anisotropic energies via Willmore energy, CD-ROM Proceedings of the 6th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012), Vienna.
[ link ]
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[4]
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Philipp Reiter.
Repulsive knot energies and pseudodifferential calculus for
O’Hara’s knot energy family E(α), α∈[2,3).
Math. Nachr., 285(7):889–913, 2012.
[ doi ]
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[3]
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Philipp Reiter.
Regularity theory for the Möbius energy.
Commun. Pure Appl. Anal., 9(5):1463–1471, 2010.
[ doi ]
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[2]
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Wolfgang Alt, Dieter Felix, Philipp Reiter, and Heiko von der Mosel.
Energetics and dynamics of global integrals modeling interaction
between stiff filaments.
J. Math. Biol., 59(3):377–414, 2009.
[ doi ]
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[1]
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Simon Blatt and Philipp Reiter.
Does finite knot energy lead to differentiability?
J. Knot Theory Ramifications, 17(10):1281–1310, 2008.
[ doi ]
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