Spectral analysis of morse-smale flows ii: resonances and resonant states

Dang, Nguyen Viet; Riviere, Gabriel

Document type :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1353/ajm.2020.0015

Title :

Spectral analysis of morse-smale flows ii: resonances and resonant states

Author(s) :

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

Journal title :

American Journal of Mathematics

Publisher :

Johns Hopkins University Press

Publication date :

2019

ISSN :

0002-9327

HAL domain(s) :

Mathématiques [math]/Physique mathématique [math-ph]

English abstract : [en]

The goal of the present work is to compute explicitely the correlation spectrum of a Morse-Smale flow in terms of the Lyapunov exponents of the Morse–Smale flow, the topology of the flow around periodic orbits and the ...
Show more >The goal of the present work is to compute explicitely the correlation spectrum of a Morse-Smale flow in terms of the Lyapunov exponents of the Morse–Smale flow, the topology of the flow around periodic orbits and the monodromy of some given flat connection. The corresponding eigenvalues exhibit vertical bands when the flow has periodic orbits. As a corollary, we obtain sharp Weyl asymptotics for the dynamical resonances.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Géométrie Spectrale, Graphes et Semiclassique

Collections :