3 papers
gr-qc2026
The Angular Momentum Penrose Inequality
Da Xu
We prove the Penrose inequality with angular momentum for asymptotically flat, axisymmetric vacuum initial data sets containing a stable marginally outer trapped surface. This ineq…
gr-qc2025
The Spacetime Penrose Inequality: Conditional Results for Stable MOTS and General Trapped Surfaces
Da Xu
We present a rigorous proof of the Spacetime Penrose Inequality relating the ADM mass to the area of trapped surfaces in asymptotically flat initial data sets satisfying the domina…
math.FA2025
Sharp Spectral Zeta Asymptotics on Graphs of Quadratic Growth
Da Xu
We investigate the spectral properties of the Dirichlet Laplacian on large finite metric balls within irregular infinite graphs of quadratic volume growth. We consider an exhaustio…