21 citations · 78 across the 22 of their papers we have counts for
27 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…
Do the Hodge spectra distinguish orbifolds from manifolds? Part 2
Katie Gittins, Carolyn Gordon, Ingrid Membrillo Solis +3
In \cite{GGKM-SSS} we examined the relationship between the singular set of a compact Riemannian orbifold and the spectrum of the Hodge Laplacian on -forms by computing the heat…
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…
Some recent developments on the Steklov eigenvalue problem
Bruno Colbois, Alexandre Girouard, Carolyn Gordon +1
The Steklov eigenvalue problem, first introduced over 125 years ago, has seen a surge of interest in the past few decades. This article is a tour of some of the recent developments…
Infinitesimal maximal symmetry and Ricci soliton solvmanifolds
Carolyn Gordon, Michael Jablonski
This work addresses the questions: (i) Among all left-invariant Riemannian metrics on a given Lie group, is there any whose isometry group or isometry algebra contain that of all o…