Fractal Geometry in Pure and Applied Mathematics

Häftad, Engelska, 2026

AvHafedh Herichi,Maria Rosaria Lancia,Therese Basa Landry,Anna Rozanova-Pierrat,Steffen Winter

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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

Utgivningsdatum2026-02-13
Mått178 x 254 x undefined mm
FormatHäftad
SpråkEngelska
SerieContemporary Mathematics
Antal sidor198
FörlagAmerican Mathematical Society
ISBN9781470474621

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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