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

Autor:	Simon Blatt, Aya Ishizeki, Takeyuki Nagasawa
Rok vydání:	2022
Předmět:	Algebra and Number Theory
Zdroj:	Journal of Knot Theory and Its Ramifications. 31
ISSN:	1793-6527 0218-2165
DOI:	10.1142/s021821652250016x
Popis:	We introduce a new discretization of O’Hara’s Möbius energy. In contrast to the known discretizations of Simon and Kim and Kusner it is invariant under Möbius transformations of the surrounding space. The starting point for this new discretization is the cosine formula of Doyle and Schramm. We then show [Formula: see text]-convergence of our discretized energies to the Möbius energy.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::eb9c6978bdd01741ccf9b063e5a09cda https://doi.org/10.1142/s021821652250016x Zobrazit plný text záznamu