6 papers
Determinantal structures for Bessel fields
Lucas Benigni, Pei-Ken Hung, Xuan Wu
A Bessel field is a two-variable random field such that for every , has the law of a…
A Minkowski inequality for Horowitz-Myers geon
Aghil Alaee, Pei-Ken Hung
We prove a sharp inequality for toroidal hypersurfaces in three and four dimensional Horowitz-Myers geon. This extend previous results on Minkowski inequality in the static spaceti…
The linear stability of the Schwarzschild spacetime in the harmonic gauge: even part
Pei-Ken Hung
In this paper we study the even part of the linear stability of the Schwarzschild spacetime as a continuation of [22]. By taking the harmonic gauge, we prove that the energy decays…
Inverse Mean Curvature Flow with Singularities
Beomjun Choi, Pei-Ken Hung
This paper concerns the inverse mean curvature flow of convex hypersurfaces which are Lipschitz in general. After defining a weak solution, we study the evolution of the singularit…
Linear Stability of Higher Dimensional Schwarzschild Spacetimes: Decay of Master Quantities
Pei-Ken Hung, Jordan Keller, Mu-Tao Wang
In this paper, we study solutions to the linearized vacuum Einstein equations centered at higher-dimensional Schwarzschild met- rics. We employ Hodge decomposition to split solutio…
The linear stability of the Schwarzschild spacetime in the harmonic gauge: odd part
Pei-Ken Hung
In this paper, we study the odd solution of the linearlized Einstein equation on the Schwarzschild background and in the harmonic gauge. With the aid of Regge-Wheeler quantities, w…