1 citations · 2 across the 2 of their papers we have counts for
3 papers
math.AP2019★ 1 cited
On O'hara knot energies I: Regularity for critical knots
Simon Blatt, Philipp Reiter, Armin Schikorra
We develop a regularity theory for extremal knots of scale invariant knot energies defined by J. O'hara in 1991. This class contains as a special case the Möbius energy. For the Mö…
math.CA2016
Curves between Lipschitz and and their relation to geometric knot theory
Simon Blatt
In this article we investigate regular curves whose derivatives have vanishing mean oscillations. We show that smoothing these curves using a standard mollifier one gets regular cu…
math.AP2012★ 1 cited
Regularity theory for tangent-point energies: The non-degenerate sub-critical case
Simon Blatt, Philipp Reiter
In this article we introduce and investigate a new two-parameter family of knot energies that contains the tangent-point energies. These energies are obtained by decou…