18 citations · 37 across the 9 of their papers we have counts for
10 papers
The variation of Barnes and Bessel zeta functions
Clara L. Aldana, Klaus Kirsten, Julie Rowlett
We consider the variation of two fundamental types of zeta functions that arise in the study of both physical and analytical problems in geometric settings involving conical singul…
On quasi-isospectrality of potentials and Riemannian manifolds
Clara L. Aldana, Camilo Perez
In this article, we study quasi-isospectral operators as a generalization of isospectral operators. The paper contains both expository material and original results. We begin by re…
Polyakov formulas for conical singularities in two dimensions
Clara L. Aldana, Klaus Kirsten, Julie Rowlett
We investigate the zeta-regularized determinant and its variation in the presence of conical singularities, boundaries, and corners. For surfaces with isolated conical singularitie…
Maximal determinants of Schrödinger operators on bounded intervals
Clara L. Aldana, Jean-Baptiste Caillau, Pedro Freitas
We consider the problem of finding extremal potentials for the functional determinant of a one-dimensional Schrödinger operator defined on a bounded interval with Dirichlet boundar…
weights and compactness of conformal metrics under curvature bounds
Clara L. Aldana, Gilles Carron, Samuel Tapie
We study sequences of conformal deformations of a smooth closed Riemannian manifold of dimension , assuming uniform volume bounds and bounds on their scalar curvatures…
A Polyakov formula for sectors
Clara L. Aldana, Julie Rowlett
We consider finite area convex Euclidean circular sectors. We prove a variational Polyakov formula which shows how the zeta-regularized determinant of the Laplacian varies with res…
Compactness of relatively isospectral sets of surfaces via conformal surgeries
Pierre Albin, Clara L. Aldana, Frédéric Rochon
We introduce a notion of relative isospectrality for surfaces with boundary having possibly non-compact ends either conformally compact or asymptotic to cusps. We obtain a compactn…
Isoresonant conformal surfaces with cusps and boundedness of the relative determinant
Clara L. Aldana
We study the isoresonance problem on non-compact surfaces of finite area that are hyperbolic outside a compact set. Inverse resonance problems correspond to inverse spectral proble…
Asymptotics of relative heat traces and determinants on open surfaces of finite area
Clara L. Aldana
The goal of this paper is to prove that on surfaces with asymptotically cusp ends the relative determinant of pairs of Laplace operators is well defined. We consider a surface with…
Ricci flow and the determinant of the Laplacian on non-compact surfaces
Pierre Albin, Clara L. Aldana, Frédéric Rochon
On compact surfaces with or without boundary, Osgood, Phillips and Sarnak proved that the maximum of the determinant of the Laplacian within a conformal class of metrics with fixed…