Title :

Spectral analysis of Morse-Smale flows I: construction of the anisotropic spaces

Author(s) :

Dang, Nguyen Viet [Auteur]
Probabilités, statistique, physique mathématique [PSPM]
Riviere, Gabriel [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Journal title :

Journal de l'Institut de Mathématiques de Jussieu

Publication date :

2018-11

English keyword(s) :

morse-smale flows
anisotropic spaces
Ruelle resonances

HAL domain(s) :

Mathématiques [math]/Physique mathématique [math-ph]
Mathématiques [math]/Systèmes dynamiques [math.DS]
Mathématiques [math]/Théorie spectrale [math.SP]
Mathématiques [math]/Equations aux dérivées partielles [math.AP]

English abstract : [en]

We prove the existence of a discrete correlation spectrum for Morse-Smale flows acting on smooth forms on a compact manifold. This is done by constructing spaces of currents with anisotropic Sobolev regularity on which the ...
Show more >We prove the existence of a discrete correlation spectrum for Morse-Smale flows acting on smooth forms on a compact manifold. This is done by constructing spaces of currents with anisotropic Sobolev regularity on which the Lie derivative has a discrete spectrum.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Géométrie Spectrale, Graphes et Semiclassique

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL