A Möbius invariant discretization of O'Hara's Möbius energy

Simon Blatt; Aya Ishizeki; Takeyuki Nagasawa

A Möbius invariant discretization of O'Hara's Möbius energy

Simon Blatt^*, Aya Ishizeki, Takeyuki Nagasawa

^*Korrespondierende/r Autor/-in für diese Arbeit

Mathematik

Publikation: Working paper/Preprint › Preprint

Abstract

We introduce a new discretization of O'Hara's M\"obius energy. In contrast to the known discretizations of Simon and Kim and Kusner it is invariant under M\"obius transformations of the surrounding space. The starting point for this new discretization is the cosine formula of Doyle and Schramm. We then show $\Gamma$-convergence of our discretized energies to the M\"obius energy under very natural assumptions.

Originalsprache	Englisch
Publikationsstatus	Veröffentlicht - 21 Sept. 2018

Publikationsreihe

Name	arXiv

Systematik der Wissenschaftszweige 2012

101 Mathematik

Dieses zitieren

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