83 citations · 190 across the 33 of their papers we have counts for
24 papers · 1 filter
Mean first escape times of Brownian motion on asymptotically hyperbolic and gas giant metric surfaces
Jesse Gell-Redman, Emanuel József Godfried, Justin Tzou +1
This paper deals with the mean first escape time of Brownian motion on asymptotically hyperbolic and gas giant surfaces. We show that for a boundary defining function , the mean…
Determining Lorentzian manifold from non-linear wave observation at a single point
Medet Nursultanov, Lauri Oksanen, Leo Tzou
We consider an inverse problem for a non-linear hyperbolic equation. We show that conformal structure of a Lorentzian manifold can be determined by the source-to-solution map evalu…
A general support theorem for analytic double fibration transforms
Marco Mazzucchelli, Mikko Salo, Leo Tzou
We develop a systematic approach for resolving the analytic wave front set for a class of integral geometry transforms appearing in various tomography problems. Combined with micro…
Eigenvalue Variations of the Neumann Laplace Operator Due to Perturbed Boundary Conditions
Medet Nursultanov, William Trad, Justin Tzou +1
This work considers the Neumann eigenvalue problem for the weighted Laplacian on a Riemannian manifold under the singular perturbation. This perturbation involve…
Inverse problems for semilinear elliptic PDE with measurements at a single point
Mikko Salo, Leo Tzou
We consider the inverse problem of determining a potential in a semilinear elliptic equation from the knowledge of the Dirichlet-to-Neumann map. For bounded Euclidean domains we pr…
Determining Riemannian Manifolds From Nonlinear Wave Observations at a Single Point
Leo Tzou
We show that on an a-priori unknown Riemannian manifold , measuring the source-to-solution map for the semilinear wave equation at a single point determines the topological,…