Overview

This volume contains the proceedings of the AMS-SMF-EMS Special Session on Fractal Geometry in Pure and Applied Mathematics, held from July 5-9, 2022, in Grenoble, France. The volume includes papers on recent developments in fractal geometry and its applications, featuring both original research and expository summaries. Key topics include non-Brownian diffusion and randomized Dirichlet forms on Sierpinski gasket-type fractals, graph approximation of such fractals, heat diffusion across fractal boundaries and inverse problems on fractal domains. Some new results are also presented regarding Sobolev-type spaces on metric measure spaces, and function spaces related to iterated fractal drums like the Weierstrass curve.

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9781470474621

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Hafedh Herichi, Santa Monica College, CA. Maria Rosaria Lancia, Sapienza Universita di Roma, Rome, Italy. Therese Basa Landry, University of California Santa Barbara, CA. Anna Rozanova-Pierrat, CentraleSupelec, University of Paris-Saclay, Gif-sur-Yvette, France. Steffen Winter, Karlsruhe Institute of Technology, Germany.

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