44 citations · 75 across the 5 of their papers we have counts for
7 papers
Existence and convergence of the length-preserving elastic flow of clamped curves
Fabian Rupp, Adrian Spener
We study the evolution of curves with fixed length and clamped boundary conditions moving by the negative -gradient flow of the elastic energy. For any initial curve lying mer…
The Willmore Flow of Tori of Revolution
Anna Dall'Acqua, Marius Müller, Reiner Schätzle +1
We study long-time existence and asymptotic behavior for the -gradient flow of the Willmore energy, under the condition that the initial datum is a torus of revolution. We sho…
The Fractional Laplacian has Infinite Dimension
Adrian Spener, Frederic Weber, Rico Zacher
We show that the fractional Laplacian on fails to satisfy the Bakry-Émery curvature-dimension inequality for all curvature bounds and all…
Curvature-dimension inequalities for non-local operators in the discrete setting
Adrian Spener, Frederic Weber, Rico Zacher
We study Bakry-Émery curvature-dimension inequalities for non-local operators on the one-dimensional lattice and prove that operators with finite second moment have finite dimensio…
On the Convergence of the Elastic Flow in the Hyperbolic Plane
Marius Müller, Adrian Spener
We examine the L^2-gradient flow of Euler's elastic energy for closed curves in hyperbolic space and prove convergence to the global minimizer for initial curves with elastic energ…
The elastic flow of curves in the hyperbolic plane
Anna Dall'Acqua, Adrian Spener
We consider closed curves in the hyperbolic space moving by the -gradient flow of the elastic energy and prove well-posedness and long time existence. Under the additional pen…