| Softcover ISBN: | 978-1-4704-7462-1 |
| Product Code: | CONM/828 |
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| MAA Member Price: | $121.50 |
| AMS Member Price: | $108.00 |
| eBook ISBN: | 978-1-4704-8103-2 |
| Product Code: | CONM/828.E |
| List Price: | $129.00 |
| MAA Member Price: | $116.10 |
| AMS Member Price: | $103.20 |
| Softcover ISBN: | 978-1-4704-7462-1 |
| eBook: ISBN: | 978-1-4704-8103-2 |
| Product Code: | CONM/828.B |
| List Price: | $264.00 $199.50 |
| MAA Member Price: | $237.60 $179.55 |
| AMS Member Price: | $211.20 $159.60 |
| Softcover ISBN: | 978-1-4704-7462-1 |
| Product Code: | CONM/828 |
| List Price: | $135.00 |
| MAA Member Price: | $121.50 |
| AMS Member Price: | $108.00 |
| eBook ISBN: | 978-1-4704-8103-2 |
| Product Code: | CONM/828.E |
| List Price: | $129.00 |
| MAA Member Price: | $116.10 |
| AMS Member Price: | $103.20 |
| Softcover ISBN: | 978-1-4704-7462-1 |
| eBook ISBN: | 978-1-4704-8103-2 |
| Product Code: | CONM/828.B |
| List Price: | $264.00 $199.50 |
| MAA Member Price: | $237.60 $179.55 |
| AMS Member Price: | $211.20 $159.60 |
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Book DetailsContemporary MathematicsVolume: 828; 2025; 182 ppMSC: Primary 28; 26; 35; 46; 05; 60
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.
ReadershipGraduate students and researchers interested in fractal geometry and its applications.
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Table of Contents
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Articles
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Raffaela Capitanelli — Time fractional equations on Sierpinski gasket like fractals
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Gabriel Claret and Anna Rozanova-Pierrat — Existence of optimal shapes for heat diffusions across irregular interfaces
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Simone Creo, Maria Rosaria Lancia, Gianluca Mola and Silvia Romanelli — Inverse problems in irregular domains: approximation via Mosco convergence
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Claire David and Michel L. Lapidus — Iterated fractal drums $\sim $ some new perspectives: Polyhedral measures, atomic decompositions and Morse theory
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Daniel Fontaine, Daniel J. Kelleher and Alexander Teplyaev — Green’s function and eigenfunctions on random Sierpinski gaskets
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Brett Hungar, Gamal Mograby, Madison Phelps, Luke G. Rogers and Jonathan Wheeler — Spectra of three-peg Hanoi towers graphs
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Nageswari Shanmugalingam — Homogeneous Newton-Sobolev spaces in metric measure spaces and their Banach space properties
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
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.
Graduate students and researchers interested in fractal geometry and its applications.
-
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
