18 citations · 22 across the 10 of their papers we have counts for
12 papers
Exit Times for Brownian Motion and Location Detection
Cole A. Kratz, Jeffrey J. Langford
In 2023, Wyman and Xi asked ``Can you hear your location on a manifold?'' We pose a related question, asking if probabilistic data can be used to recover location within a manifold…
Maximizing the second Robin eigenvalue of simply connected curved membranes
Jeffrey J. Langford, Richard S. Laugesen
The second eigenvalue of the Robin Laplacian is shown to be maximal for a spherical cap among simply connected Jordan domains on the 2-sphere, for substantial intervals of positive…
Eigenvalue Estimates for -Laplace Problems on Domains Expressed in Fermi Coordinates
Barbara Brandolini, Francesco Chiacchio, Jeffrey J. Langford
We prove explicit and sharp eigenvalue estimates for Neumann -Laplace eigenvalues in domains that admit a representation in Fermi coordinates. More precisely, if denotes a n…
Extremizing Temperature Functions of Rods with Robin Boundary Conditions
Jeffrey J. Langford, Patrick McDonald
We compare the solutions of two one-dimensional Poisson problems on an interval with Robin boundary conditions, one with given data, and one where the data has been symmetrized. Wh…
PDE Comparison Principles for Robin Problems
Jeffrey J. Langford
We compare the solutions of two Poisson problems in a spherical shell with Robin boundary conditions, one with given data, and one where the data has been cap symmetrized. When the…
A Sharp Isoperimetric Inequality for the Second Eigenvalue of the Robin Plate
L. Mercredi Chasman, Jeffrey J. Langford
Among all bounded domains with equal volume, we show that the second eigenvalue of the Robin plate is uniquely maximized by an open ball, so long as the Robin paramete…