Fractal Geometry in Pure and Applied Mathematics
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Home > Mathematics and Science Textbooks > Mathematics > Calculus and mathematical analysis > Fractal Geometry in Pure and Applied Mathematics: (Contemporary Mathematics)
Fractal Geometry in Pure and Applied Mathematics: (Contemporary Mathematics)

Fractal Geometry in Pure and Applied Mathematics: (Contemporary Mathematics)


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About the Book

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.

Table of Contents:

  • 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


    About the Author :
    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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    Product Details
    • ISBN-13: 9781470474621
    • Publisher: American Mathematical Society
    • Publisher Imprint: American Mathematical Society
    • Height: 254 mm
    • No of Pages: 198
    • Width: 178 mm
    • ISBN-10: 147047462X
    • Publisher Date: 31 Dec 2025
    • Binding: Paperback
    • Language: English
    • Series Title: Contemporary Mathematics


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