Fractal Geometry in Pure and Applied Mathematics

Hafedh Herichi, Maria Rosaria Lancia, Therese Basa Landry , Anna Rozanova-Pierrat

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English

American Mathematical Society
15 November 2025

Calculus & mathematical analysis

Series: Contemporary Mathematics

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.

Edited by: Hafedh Herichi, Maria Rosaria Lancia, Therese Basa Landry, Anna Rozanova-Pierrat, Steffen Winter
Imprint: American Mathematical Society
Country of Publication: United States
Dimensions: Height: 254mm, Width: 178mm,
ISBN: 9781470474621
ISBN 10: 147047462X
Series: Contemporary Mathematics
Pages: 198
Publication Date: 15 November 2025
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Forthcoming

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

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.