Fractal geometry in pure and applied mathematics / Hafedh Herichi, Maria Rosaria Lancia, Therese Basa Landry, Anna Rozanova-Pierrat, Steffen Winter, editors.

Format:

Book

Contributor:

Herichi, Hafedh, editor.

Lancia, Maria Rosaria, 1965- editor.

Landry, Therese Basa, editor.

Rozanova-Pierrat, Anna, 1980- editor.

Winter, Steffen, editor.

Series:

Contemporary mathematics (American Mathematical Society) ; v. 828.

Contemporary mathematics, 0271-4132 ; 828

Language:

English

Subjects (All):

Fractals.

Differential equations, Partial.

fractals.

Physical Description:

x, 182 pages : illustrations, charts ; 26 cm.

Place of Publication:

[Providence, Rhode Island] : American Mathematical Society, [2025]

Summary:

"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. 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."-- publisher's website.,

Contents:

Time fractional equations on Sierpinski gasket like fractals / Raffaela Capitanelli

Existence of optimal shapes for heat diffusions across irregular interfaces / Gabriel Claret and Anna Rozanova-Pierrat

Inverse problems in irregular domains : approximation via Mosco convergence / Simone Creo, Maria Rosaria Lancia, Gianluca Mola, and Silvia Romanelli

Iterated fractal drums some new perspectives : polyhedral measures, atomic decompositions and Morse thoery / Claire David and Michel L. Lapidus

Green's function and eigenfunctions on random Sierpinski gaskets / Daniel Fontaine, Daniel J. Kelleher, and Alexander Teplyaev

Spectra of three-peg Hanoi towers graphs / Brett Hungar, Gamal Mograby, Madison Phelps, Luke G. Rogers, and Jonathan Wheeler

Homogeneous Newton-Sobolev spaces in metric measure spaces and their Banach space properties / Nageswari Shanmugalingam.

Notes:

"Special Session at the Joint International Meeting of the AMS-SMF-EMS, July 18-22, 2022 Grenoble, France"--Title page.

Includes bibliographical references.

Other Format:

Online version: Fractal geometry in pure and applied mathematics.

ISBN:

9781470474621

147047462X

OCLC:

1529941077