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.
Call for proposal
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