Objectif Since the early 1980's physicists have started to investigate analytical and probabilistic problems on fractals, for instance questions about heat diffusion, Brownian motion and vibration. Fractal structures are convenient models for porous materials and hence are of high interest for natural scientists. These structures appear naturally in medicine, biology, economy, physics and chemistry, but also in pure mathematics.The subject of this research project lies on the borderline edge between stochastic processes and analysis on fractal-like spaces. There are four main topics of the project: Analysis of oscillatory phenoma on fractal-like graphs, spectral properties of the Laplacian on fractal-like graphs, heat kernels and function spaces on metric measure spaces, jump processes on fractal-like spaces. Champ scientifique natural sciencesmathematicspure mathematicsgeometry Mots‑clés Heat kernels Stochastic processes Fractals Programme(s) FP6-MOBILITY - Human resources and Mobility in the specific programme for research, technological development and demonstration "Structuring the European Research Area" under the Sixth Framework Programme 2002-2006 Thème(s) MOBILITY-2.1 - Marie Curie Intra-European Fellowships (EIF) Appel à propositions FP6-2002-MOBILITY-5 Voir d’autres projets de cet appel Régime de financement EIF - Marie Curie actions-Intra-European Fellowships Coordinateur IMPERIAL COLLEGE LONDON Contribution de l’UE Aucune donnée Adresse South Kensington Campus, 180 Queen's Gate LONDON Royaume-Uni Voir sur la carte Liens Site web Opens in new window Coût total Aucune donnée
