2 citations · 3 across the 2 of their papers we have counts for
2 papers
math.DG2022★ 1 cited
The magnitude and spectral geometry
Heiko Gimperlein, Magnus Goffeng, Nikoletta Louca
We study the geometric significance of Leinster's notion of magnitude for a smooth manifold with boundary of arbitrary dimension, motivated by open questions for the unit disk in $…
math.AP2022★ 2 cited
Semiclassical analysis of a nonlocal boundary value problem related to magnitude
Heiko Gimperlein, Magnus Goffeng, Nikoletta Louca
We study a Dirichlet boundary problem related to the fractional Laplacian in a manifold. Its variational formulation arises in the study of magnitude, an invariant of compact metri…