4 citations · 4 across the 4 of their papers we have counts for
8 papers · 1 filter
Riemann moduli spaces are quantum ergodic
Dean Baskin, Jesse Gell-Redman, Xiaolong Han
In this note we show that the Riemann moduli spaces equipped with the Weil--Petersson metric are quantum ergodic for . We also provide other examples of sin…
Scattering resonances on truncated cones
Dean Baskin, Mengxuan Yang
We consider the problem of finding the resonances of the Laplacian on truncated Riemannian cones. In a similar fashion to Cheeger--Taylor, we construct the resolvent and scattering…
An explicit description of the radiation field in 3+1-dimensions
Dean Baskin
In previous work with A. Vasy and J. Wunsch, the author established an asymptotic expansion for the radiation field on asymptotically Minkowski spacetimes and showed that the expon…
Strichartz estimates on exterior polygonal domains
Dean Baskin, Jeremy L. Marzuola, Jared Wunsch
Using a new local smoothing estimate of the first and third authors, we prove local-in-time Strichartz and smoothing estimates without a loss exterior to a large class of polygonal…
Some global aspects of linear wave equations
Dean Baskin, Rafe Mazzeo
This paper surveys a few aspects of the global theory of wave equations. This material is structured around the contents of a minicourse given by the second author during the CMI/E…
Resolvent estimates and local decay of waves on conic manifolds
Dean Baskin, Jared Wunsch
We consider manifolds with conic singularites that are isometric to outside a compact set. Under natural geometric assumptions on the cone points, we prove the exi…