Fractal Geometry in Pure and Applied Mathematics

Häftad, Engelska, 2026

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2026-02-13
Mått:178 x 254 x undefined mm
Format:Häftad
Språk:Engelska
Serie:Contemporary Mathematics
Antal sidor:198
Förlag:American Mathematical Society
ISBN:9781470474621

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

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.

Innehållsförteckning

ArticlesRaffaela Capitanelli, Time fractional equations on Sierpinski gasket like fractalsGabriel Claret and Anna Rozanova-Pierrat, Existence of optimal shapes for heat diffusions across irregular interfacesSimone Creo, Maria Rosaria Lancia, Gianluca Mola and Silvia Romanelli, Inverse problems in irregular domains: approximation via Mosco convergenceClaire David and Michel L. Lapidus, Iterated fractal drums $\sim $ some new perspectives: Polyhedral measures, atomic decompositions and morse theoryDaniel Fontaine, Daniel J. Kelleher and Alexander Teplyaev, Green's function and eigenfunctions on random Sierpinski gasketsBrett Hungar, Gamal Mograby, Madison Phelps, Luke G. Rogers and Jonathan Wheeler, Spectra of three-peg Hanoi towers graphsNageswari Shanmugalingam, Homogeneous Newton-Sobolev spaces in metric measure spaces and their Banach space properties