52 citations · 270 across the 36 of their papers we have counts for
36 papers
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…
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…
Casimir energy of hyperbolic orbifolds with conical singularities
Ksenia Fedosova, Julie Rowlett, Genkai Zhang
In this article, we obtain the explicit expression of the Casimir energy for 2-dimensional Clifford-Klein space forms in terms of the geometrical data of the underlying spacetime w…
The Laplace spectrum on conformally compact manifolds
Nelia Charalambous, Julie Rowlett
We consider the spectrum of the Laplace operator acting on over a conformally compact manifold for . We prove that for this spectru…
Fourier expansions of vector-valued automorphic functions with non-unitary twists
Ksenia Fedosova, Anke Pohl, Julie Rowlett
We provide Fourier expansions of vector-valued eigenfunctions of the hyperbolic Laplacian that are twist-periodic in a horocycle direction. The twist may be given by any endomorphi…
The isospectral problem for flat tori from three perspectives
Erik Nilsson, Julie Rowlett, Felix Rydell
Flat tori are among the only types of Riemannian manifolds for which the Laplace eigenvalues can be explicitly computed. In 1964, Milnor used a construction of Witt to find an exam…
The strength of diversity: mathematical proof that collections of variable individuals are robust in the face of challenges
Julie Rowlett, Carl-Joar Karlsson, Medet Nursultanov
Can one demonstrate quantitative effects of diversity within a system comprised of distinct individuals on the performance of the system as a whole? Assuming that individuals can b…
Conformal deformations of conic metrics to constant scalar curvature
Thalia Jeffres, Julie Rowlett
We consider conformal deformations within a class of incomplete Riemannian metrics which generalize conic orbifold singularities by allowing both warping and any compact manifold (…
Biodiversity of marine microbes is safeguarded by phenotypic variability in ecological traits
Susanne Menden-Deuer, Medet Nursultanov, Sinead Collins +2
Why, contrary to theoretical predictions, do marine microbe communities harbor tremendous phenotypic heterogeneity? How can so many marine microbe species competing in the same nic…
Mathematics Indicates That an HIV-Style Strategy Could Be Applied to Manage the Coronavirus
Julie Rowlett
We have learned to live with many potentially deadly viruses for which there is no vaccine, no immunity, and no cure. We do not live in constant fear of these viruses, instead, we…
Mathematical Models for Erosion and the Optimal Transportation of Sediment
Björn Birnir, Julie Rowlett
We investigate a mathematical theory for the erosion of sediment which begins with the study of a non-linear, parabolic, weighted 4-Laplace equation on a rectangular domain corresp…
The level sets of typical games
Julie Rowlett
In a non-cooperative game, players do not communicate with each other. Their only feedback is the payoff they receive resulting from the strategies they execute. It is important to…
The theory of games and microbe ecology
Susanne Menden-Deuer, Julie Rowlett
Using game theory we provide mathematical proof that if a species of asexually reproducing microbes does not possess maximum variability in competitive abilities amongst its indivi…
Many ways to stay in the game: Individual variability maintains high biodiversity in planktonic micro-organisms
Susanne Menden-Deuer, Julie Rowlett
In apparent contradiction to competition theory, the number of known, co-existing plankton species far exceeds their explicable biodiversity - a discrepancy termed the Paradox of t…
La géométrie de Bakry-Émery et l'écart fondamental
Julie Rowlett
This article is a brief presentation of results surrounding the fundamental gap. We begin by recalling Bakry-Emery geometry and demonstrate connections between eigenvalues of the L…
Eigenvalue Estimates on Bakry-Emery Manifolds
Nelia Charalambous, Zhiqin Lu, Julie Rowlett
We demonstrate lower bounds for the eigenvalues of compact Bakry-Emery manifolds with and without boundary. The lower bounds for the first eigenvalue rely on a generalised maximum…
One can hear the corners of a drum
Zhiqin Lu, Julie Rowlett
We prove that the presence or absence of corners is spectrally determined in the following sense: any simply connected domain with piecewise smooth Lipschitz boundary cannot be iso…
The sound of symmetry
Zhiqin Lu, Julie Rowlett
This note begins with an introduction to the inverse isospectral problem popularized by M. Kac's 1966 article in the American Mathematical Monthly, "Can one hear the shape of a dru…
How to hear the corners of a drum
Medet Nursultanov, Julie Rowlett, David Sher
We announce a new result which shows that under either Dirichlet, Neumann, or Robin boundary conditions, the corners in a planar domain are a spectral invariant of the Laplacian. F…
Crystallographic groups, strictly tessellating polytopes, and analytic eigenfunctions
Julie Rowlett, Max Blom, Henrik Nordell +2
The mathematics of crystalline structures connects analysis, geometry, algebra, and number theory. The planar crystallographic groups were classified in the late 19th century. One…
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…
Decisions and disease: a mechanism for the evolution of cooperation
Julie Rowlett, Carl-Joar Karlsson
In numerous contexts, individuals may decide whether they take actions to mitigate the spread of disease, or not. Mitigating the spread of disease requires an individual to change…
The heat kernel on curvilinear polygonal domains in surfaces
Medet Nursultanov, Julie Rowlett, David A. Sher
We construct the heat kernel on curvilinear polygonal domains in arbitrary surfaces for Dirichlet, Neumann, and Robin boundary conditions as well as mixed problems, including those…
Eigenvalue asymptotics for weighted Laplace equations on rough Riemannian manifolds with boundary
Lashi Bandara, Medet Nursultanov, Julie Rowlett
Our topological setting is a smooth compact manifold of dimension two or higher with smooth boundary. Although this underlying topological structure is smooth, the Riemannian metri…