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Recent Developments in Fractals and Related Fields: Conference on Fractals and Related Fields IV, île de Porquerolles, France, 2022 [Kõva köide]

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  • Formaat: Hardback, 392 pages, kõrgus x laius: 235x155 mm, 23 Illustrations, color; 10 Illustrations, black and white; XIV, 392 p. 33 illus., 23 illus. in color., 1 Hardback
  • Sari: Trends in Mathematics
  • Ilmumisaeg: 19-Apr-2025
  • Kirjastus: Birkhauser Verlag AG
  • ISBN-10: 303180452X
  • ISBN-13: 9783031804526
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Recent Developments in Fractals and Related Fields: Conference on Fractals and Related Fields IV, île de Porquerolles, France, 2022Suurem pilt
  • Formaat: Hardback, 392 pages, kõrgus x laius: 235x155 mm, 23 Illustrations, color; 10 Illustrations, black and white; XIV, 392 p. 33 illus., 23 illus. in color., 1 Hardback
  • Sari: Trends in Mathematics
  • Ilmumisaeg: 19-Apr-2025
  • Kirjastus: Birkhauser Verlag AG
  • ISBN-10: 303180452X
  • ISBN-13: 9783031804526
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9783031804526.html
Märksõnad:
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.
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:
Carlesons 𝜀2 conjecture in higher dimensions and Faber-Krahn
inequalities.