Objective 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. Fields of science natural sciencesmathematicspure mathematicsgeometry Keywords 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 Topic(s) MOBILITY-2.1 - Marie Curie Intra-European Fellowships (EIF) Call for proposal FP6-2002-MOBILITY-5 See other projects for this call Funding Scheme EIF - Marie Curie actions-Intra-European Fellowships Coordinator IMPERIAL COLLEGE LONDON Address South kensington campus, 180 queen's gate London United Kingdom See on map Links Website Opens in new window EU contribution € 0,00
