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Content archived on 2024-06-11

Stability and dynamical systems

Objective



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).

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Programme(s)

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Topic(s)

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Call for proposal

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Funding Scheme

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RGI - Research grants (individual fellowships)

Coordinator

INSTITUT DES HAUTES ETUDES SCIENTIFIQUES
EU contribution
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Address
35,Route de Chartres 35
91440 BURES-SUR-YVETTE
France

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Total cost

The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.

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Participants (1)

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