Fractal geometry, complex dimensions and zeta functions : geometry and spectra of fractal strings
Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. Key Features The Riemann hypothesis is given a natural geometric reformulation in the context of vibrating fractal...
Salvato in:
| Autori principali: | , |
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| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Edizione: | 1st ed. 2006. |
| Serie: | Springer Monographs in Mathematics
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| Soggetti: | |
| Accesso online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Description d'après consultation du 28 mars 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Fractal geometry, complex dimensions and zeta functions, geometry and spectra of fractal strings, Michel L. Lapidus, Machiel van Frankenhuijsen, 2006, New York (N.Y.), Springer, 1 vol. (XXII-460 p.), Springer monographs in mathematics, 978-0-387-33285-7 |
Sommario:
- Complex Dimensions of Ordinary Fractal Strings Complex Dimensions of Self-Similar Fractal Strings Complex Dimensions of Nonlattice Self-Similar Strings: Quasiperiodic Patterns and Diophantine Approximation Generalized Fractal Strings Viewed as Measures Explicit Formulas for Generalized Fractal Strings The Geometry and the Spectrum of Fractal Strings Periodic Orbits of Self-Similar Flows Tubular Neighborhoods and Minkowski Measurability The Riemann Hypothesis and Inverse Spectral Problems Generalized Cantor Strings and their Oscillations The Critical Zeros of Zeta Functions Concluding Comments, Open Problems, and Perspectives