52 citations · 270 across the 36 of their papers we have counts for
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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 (…
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…
The heat trace for the drifting Laplacian and Schrödinger operators on manifolds
Nelia Charalambous, Julie Rowlett
We study the heat trace for both the drifting Laplacian as well as Schrödinger operators on compact Riemannian manifolds. In the case of a finite regularity potential or weight fun…
Dynamics and zeta functions on conformally compact manifolds
Julie Rowlett, Pablo Suárez-Serrato, Samuel Tapie
In this note, we study the dynamics and associated zeta functions of conformally compact manifolds with variable negative sectional curvatures. We begin with a discussion of a larg…
A heat trace anomaly on polygons
Rafe Mazzeo, Julie Rowlett
Let be a polygon in $\RR^2$, or more generally a compact surface with piecewise smooth boundary and corners. Suppose that $Ω_\e$ is a family of surfaces with $\calC^\infty$ b…