Friday, July 26
A multifractal formalism is a modern tool to analyze data that one can collect while observing distributions of chaotic motions. The rigorous mathematical study of multifractality has recently begun and has shaped a new area of research in the interface of the theory of dynamical systems (mostly of hyperbolic type) and dimension theory (in particular, fractal geometry). This study supported a crucial physical observation that strange attractors have self-similar geometric structure and so have the distributions of chaotic motions. The mathematical study has also revealed that the concept of multifractality is robust in the case of low-dimensional dynamics and may not be so in higher dimensions.
The speaker will discuss aspects of these new concepts and techniques.
Department of Mathematics
Pennsylvania State University
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