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Fractal Geometry in Pure and Applied Mathematics.
・ISBN 978-1-4704-7462-1 paper US$ 135.00
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| 著者・編者 | Herichi, Hafedh / Lancia, Maria Rosaria / Landry, Therese Basa / Rozanova-Pierrat, Anna / Winter, Steffen (eds.), |
|---|---|
| シリーズ | Contemporary Mathematics |
| 出版社 | (American Mathematical Society, US) |
| 出版年月 | 2025 |
| ページ数 | 198 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-19281＞ |
解説
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.