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Wavelet Analysis of Multifractal Functions - Thermodynamic Formalism

Mathematical Physics & Probability

Speaker: Dr. Jean-Marie Aubry, Mathematics, UC Davis
Location: 693 Kerr
Start time: Mon, Apr 12 1999, 4:10PM

In the first lecture, I will recall the basic notions of fractal geometry, and on the example of the Cantor set, show what information a wavelet analysis of a function build on this set can yield. A natural generalization is then the notion of multifractal function, for which wavelet analysis appeared to be a fruitful tool.