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Contenido archivado el 2024-06-11

Stability and dynamical systems

Objetivo



The project covers two research fields: (1) application of the methods of quantum field theory to the study of the perturbative series of KAM theory, in particular to (1.1) the analysis of the universality for the breakdown of the invariant tori (an interesting open problem, on which one has only partial and numerical results, and one lacks a rigorous theory), and to (1.2) the study of heteroclinic angles for whiskered tori, related to the phenomenon of Arnol'd diffusion in phase space; (2) analytic discussion of the thermodynamic properties of Axiom A flows, in view of a numerical test of Ruelle's principle (stating that for some many particle systems, as far as only macroscopical properties are involved, the theory of hyperbolic systems can be applied).

Ámbito científico (EuroSciVoc)

Programa(s)

Tema(s)

Convocatoria de propuestas

Datos no disponibles

Régimen de financiación

RGI - Research grants (individual fellowships)

Coordinador

INSTITUT DES HAUTES ETUDES SCIENTIFIQUES
Aportación de la UE
Sin datos
Dirección
35,Route de Chartres 35
91440 BURES-SUR-YVETTE
Francia
Coste total
Sin datos

Participantes (1)