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Fractal Geometry in Pure and Applied Mathematics -

Fractal Geometry in Pure and Applied Mathematics

Buch | Softcover
198 Seiten
2025
American Mathematical Society (Verlag)
9781470474621 (ISBN)
CHF 219,95 inkl. MwSt
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Research presented in Grenoble, France illuminates fractal geometry’s role in pure and applied mathematics. Advances address non-Brownian diffusion, randomized Dirichlet forms, fractal graph approximations, heat diffusion across fractal boundaries, inverse problems, and Sobolev-type spaces, offering fresh insights.
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.

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.

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

Erscheint lt. Verlag 31.12.2025
Reihe/Serie Contemporary Mathematics
Verlagsort Providence
Sprache englisch
Maße 178 x 254 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
ISBN-13 9781470474621 / 9781470474621
Zustand Neuware
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