Fractal geometry, complex dimensions and zeta functions : geometry and spectra of fractal strings /
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| Author / Creator: | Lapidus, Michel L. (Michel Laurent), 1956- |
|---|---|
| Imprint: | New York : Springer, c2006. |
| Description: | 1 online resource (xxii, 460 p.) : ill. |
| Language: | English |
| Series: | Springer monographs in mathematics Springer monographs in mathematics. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/8878793 |
Table of Contents:
- 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
- Zeta functions in number theory
- Zeta functions of Laplacians and spectral asymptotics
- An application of Nevanlinna theory.