49 citations · 92 across the 19 of their papers we have counts for
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math.FA2018
A Möbius invariant discretization of O'Hara's Möbius energy
Simon Blatt, Aya Ishizeki, Takeyuki Nagasawa
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 th…
math.FA2011★ 17 cited
Sharp Boundedness and Regularizing effects of the integral Menger curvature for submanifolds
Simon Blatt, Sławomir Kolasiński
In this paper we show that embedded and compact manifolds have finite integral Menger curvature if and only if they are locally graphs of certain Sobolev-Slobodeckij spaces.…