22 citations · 64 across the 18 of their papers we have counts for
15 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…
The Klein-Gordon equation on asymptotically Minkowski spacetimes: the Feynman propagator
Dean Baskin, Moritz Doll, Jesse Gell-Redman
We develop a theory of Feynman propagators for the massive Klein--Gordon equation with asymptotically static perturbations. Building on our previous work on the causal propagators,…
The Klein-Gordon equation on asymptotically Minkowski spacetimes: causal propagators
Dean Baskin, Moritz Doll, Jesse Gell-Redman
We construct the causal (forward/backward) propagators for the massive Klein-Gordon equation perturbed by a first order operator which decays in space but not necessarily in time.…
Scattering regularity for small data solutions of the nonlinear Schrödinger equation
Jesse Gell-Redman, Sean Gomes, Andrew Hassell
Using the Fredholm theory of the linear time-dependent Schrödinger equation set up in our previous article arXiv:2201.03140, we solve the final-state problem for the nonlinear Schr…
Price's law on Minkowski space in the presence of an inverse square potential
Dean Baskin, Jesse Gell-Redman, Jeremy L. Marzuola
We consider the pointwise decay of solutions to wave-type equations in two model singular settings. Our main result is a form of Price's law for solutions of the massless Dirac-Cou…
Propagation of singularities and Fredholm analysis for the time-dependent Schrödinger equation
Jesse Gell-Redman, Sean Gomes, Andrew Hassell
We study the time-dependent Schrödinger operator acting on functions defined on , where, using coordinates and $t \in \ma…