Screen LibraryFractal geometry, complex dimensions and zeta functions：geometry and spectra of fractal strings
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| Main Authors: | |
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| Corporate Authors: | |
| Group Author: | |
| Published: |
Springer,
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| Publisher Address: | Dordrecht |
| Publication Dates: | c2006. |
| Literature type: | Book |
| Language: | English |
| Series: |
Springer monographs in mathematics |
| Subjects: | |
| Online Access: |
http://dx.doi.org/10.1007/978-0-387-35208-4 |
| Carrier Form: | xxiii, 460 p.: ill. ; 24 cm. |
| ISBN: |
9780387352084 (electronic bk.) 0387352082 (electronic bk.) |
| Index Number: | O189 |
| CLC: | O189.3-532 |
| Contents: |
Includes bibliographical references and indexes. 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. |