52 citations · 270 across the 36 of their papers we have counts for
7 papers · 2 filters
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…