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Vidéo Année : 2014

Semyon Dyatlov - Spectral gaps for normally hyperbolic trapping

Afficher 

Fanny Bastien

Résumé

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.

Dates et versions

medihal-01318383 , version 1 (19-05-2016)

Licence

Paternité - Pas d'utilisation commerciale - Pas de modification

Identifiants

  • HAL Id : medihal-01318383 , version 1

Citer

Semyon Dyatlov, Fanny Bastien. Semyon Dyatlov - Spectral gaps for normally hyperbolic trapping : Summer School 2014 - Asymptotic analysis in general relativity. 2014. ⟨medihal-01318383⟩
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