57:41
published on October 7, 2026
Increasing-phase filtrations of quiver representations
By Haiden Fabian
Spectral gaps for normally hyperbolic trapping
Appears in collection : Summer School 2014 - Asymptotic Analysis in General Relativity
Motivated by wave decay for Kerr and Kerr‐de Sitter black holes, we study spectral gaps for codimension 2 normally hyperbolic trapped sets with smooth stable/unstable foliations. Using semiclassical defect measures, we recover the gap of Wunsch‐Zworski and Nonnenmacher‐Zworski in our case. Under the stronger assumptions of r-normal hyperbolicity and pinching, we discover further spectral gaps, meaning that resonances are stratified into bands by decay rates.
