13 citations · 21 across the 12 of their papers we have counts for
15 papers
The Steklov spectrum of convex polygonal domains II: investigating spectral determination
Emily B. Dryden, Carolyn Gordon, Javier Moreno +2
The extent to which the geometry of an object is determined by some associated spectral data is a longstanding problem. We investigate this problem in the context of the Steklov sp…
The Steklov spectrum of convex polygonal domains I: spectral finiteness
Emily B. Dryden, Carolyn Gordon, Javier Moreno +2
We explore the Steklov eigenvalue problem on convex polygons, focusing mainly on the inverse Steklov problem. Our primary finding reveals that, for almost all convex polygonal doma…
Applications of possibly hidden symmetry to Steklov and mixed Steklov problems on surfaces
Teresa Arias-Marco, Emily B. Dryden, Carolyn S. Gordon +3
We consider three different questions related to the Steklov and mixed Steklov problems on surfaces. These questions are connected by the techniques that we use to study them, whic…
Spectral geometry of the Steklov problem on orbifolds
Teresa Arias-Marco, Emily B. Dryden, Carolyn S. Gordon +3
We consider how the geometry and topology of a compact -dimensional Riemannian orbifold with boundary relates to its Steklov spectrum. In two dimensions, motivated by work of A.…
Sharp Poincaré inequalities in a class of non-convex sets
B. Brandolini, F. Chiacchio, E. B. Dryden +1
Let be a smooth, non-closed, simple curve whose image is symmetric with respect to the -axis, and let be a planar domain consisting of the points on one side of , wit…
Recovering -invariant metrics on from the equivariant spectrum
Emily B. Dryden, Diana Macedo, Rosa Sena-Dias
We prove an inverse spectral result for -invariant metrics on based on the so-called asymptotic equivariant spectrum. This is roughly the spectrum together with large we…