4 papers
The topological pressure of trapped sets in Kerr-(de Sitter) spacetimes
Qiuye Jia
In this paper we prove that the topological pressure of dynamic systems with normally hyperbolic trapping is negative. In particular, this applies to the null geodesic flow in Kerr…
Microlocal analysis of the non-relativistic limit of the Klein--Gordon equation: Asymptotics
Andrew Hassell, Qiuye Jia, Ethan Sussman +1
This is the less technical half of a two-part work in which we introduce a robust microlocal framework for analyzing the non-relativistic limit of relativistic wave equations with…
The essential self-adjointness of the wave operator on radiative spacetimes
Qiuye Jia, Mikhail Molodyk, Ethan Sussman
We prove the essential self-adjointness of the d'Alembertian , allowing a larger class of spacetimes than previously considered, including those that arise from perturbi…
Microlocal analysis of the non-relativistic limit of the Klein--Gordon equation: Estimates
Andrew Hassell, Qiuye Jia, Ethan Sussman +1
This is the more technical half of a two-part work in which we introduce a robust microlocal framework for analyzing the non-relativistic limit of relativistic wave equations with…