1 citations · 1 across the 4 of their papers we have counts for
4 papers
The p-widths of the Hemisphere
Jared Marx-Kuo
We compute the p-widths, , for the hemisphere with the standard round metric. This provides the first example of a manifold with boundary for which the -widths are know…
An Inverse Problem for Renormalized Area: Determining the Bulk Metric with Minimal Surfaces
Jared Marx-Kuo
We present an inverse problem which uses the renormalized area functional on minimal submanifolds to recover the expansion of asymptotically hyperbolic, conformally compact metrics…
Second Inner Variations of Energy and Index of Codimension Minimal Submanifolds
Jared Marx-Kuo
We compute the second inner variation of the Abelian Yang--Mills--Higgs and Ginzburg--Landau energies. Given a sequence of critical points with energy measures converging to a codi…
Variations of Renormalized Volume for Minimal Submanifolds of Poincare-Einstein Manifolds
Jared Marx-Kuo
We investigate the asymptotic expansion and the renormalized volume of minimal submanifolds, of arbitrary codimension in Poincare-Einstein manifolds, . In particular…