Recent Developments in Fractals and Related Fields Conference on Fractals and Related Fields IV, île de Porquerolles, France, 2022 /
This volume provides readers with an overview of the most recent developments in the mathematical fields related to fractals. It includes both original research contributions, as well as surveys from many of the leading experts on modern fractal geometry theory and applications. The contributions co...
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| Outros autores: | , , |
| Formato: | Electrónico eBook |
| Idioma: | inglés |
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Cham :
Springer Nature Switzerland : Imprint: Birkhäuser,
2025.
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| Edición: | 1st ed. 2025. |
| Series: | Trends in Mathematics,
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| Acceso en liña: | https://doi.org/10.1007/978-3-031-80453-3 |
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| 245 | 1 | 0 | |a Recent Developments in Fractals and Related Fields |h [electronic resource] : |b Conference on Fractals and Related Fields IV, île de Porquerolles, France, 2022 / |c edited by Julien Barral, Athanasios Batakis, Stéphane Seuret. |
| 250 | |a 1st ed. 2025. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Birkhäuser, |c 2025. | |
| 300 | |a XIV, 392 p. 33 illus., 23 illus. in color. |b online resource. | ||
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| 490 | 1 | |a Trends in Mathematics, |x 2297-024X | |
| 505 | 0 | |a Amir Algom and Meng Wu: Large slices through self affine carpets -- Demi Allen and Edouard Daviaud: A survey of recent extensions and generalisations of the Mass Transference Principle -- Peter Arzt and Uta Freiberg: Spectral Exponents of Gap Diffusions on Random Homogeneous Cantor-Sets -- Athanasios Batakis, Nga Nguyen and Michel Zinsmeister: A new Model of City Growth and its Application to a middle sized French City -- Wejdene Ben Nasr, Véronique Billat, Stéphane Jaffard,, Florent Palacin and Guillaume Saës: The weak scaling multifractal spectrum: Mathematical setting and applications to marathon runners physiological data -- Argyrios Christodoulou and Natalia Jurga: Self-projective sets -- Hervé Queffélec and Martine Queffélec: Old and new results on the Furstenberg sets -- Michael Hochman: On the analytic self-maps of Cantor sets in the line -- Xiong Jin: A Chung-Fuchs type theorem for skew product dynamical systems -- Sabrina Kombrink and Lucas Schmidt: Eigenvalue counting functions and parallel volumes for examples of fractal sprays generated by the Koch snowflake -- Eugen Mihailescu: Exact dimensional measures in deterministic and random systems -- Tuomas Sahlsten: Fourier transforms and iterated function systems -- Nicolas de Saxcé: A presentation of the discretized sum-product in division algebras -- Xavier Tolsa: Carleson’s 2 conjecture in higher dimensions and Faber-Krahn inequalities. | |
| 520 | |a This volume provides readers with an overview of the most recent developments in the mathematical fields related to fractals. It includes both original research contributions, as well as surveys from many of the leading experts on modern fractal geometry theory and applications. The contributions contained in the book stem from the conference “Fractals and Related Fields IV", that was held in 2022 on the Island of Porquerolles, France. Various aspects of fractal geometry in connection with harmonic analysis, geometric measure theory, ergodic theory and dynamical systems, probability theory, number theory, functional analysis, additive combinatorics, embedding theory, and signal and image processing are addressed within its pages. We hope that the book will be interesting for pure and applied mathematicians in these areas, as well as for other researchers curious to discover more about fractals. | ||
| 532 | 8 | |a Accessibility summary: This PDF does not fully comply with PDF/UA standards, but does feature limited screen reader support, described non-text content (images, graphs), bookmarks for easy navigation and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 650 | 0 | |a Measure theory. | |
| 650 | 0 | |a Dynamical systems. | |
| 650 | 0 | |a Number theory. | |
| 650 | 0 | |a Probabilities. | |
| 650 | 0 | |a Harmonic analysis. | |
| 650 | 1 | 4 | |a Measure and Integration. |
| 650 | 2 | 4 | |a Dynamical Systems. |
| 650 | 2 | 4 | |a Number Theory. |
| 650 | 2 | 4 | |a Probability Theory. |
| 650 | 2 | 4 | |a Abstract Harmonic Analysis. |
| 700 | 1 | |a Barral, Julien. |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
| 700 | 1 | |a Batakis, Athanasios. |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
| 700 | 1 | |a Seuret, Stéphane. |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
| 710 | 2 | |a SpringerLink (Online service) | |
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| 776 | 0 | 8 | |i Printed edition: |z 9783031804526 |
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| 830 | 0 | |a Trends in Mathematics, |x 2297-024X | |
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