Research Catalog

Fractal geometry and number theory : complex dimensions of fractal strings and zeros of zeta functions

Title: Fractal geometry and number theory : complex dimensions of fractal strings and zeros of zeta functions / Michel L. Lapidus, Machiel van Frankenhuysen.
Author: Lapidus, Michel L. (Michel Laurent), 1956-
Publication: Boston : Birkhäuser, ©2000.

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Status	Format	Access	Call Number	Item Location
Request for On-site Use Request Scan How do I pick up this item and when will it be ready?	Text	Use in library	QA614.86 .L36 2000	Off-site

Details

Additional Authors

Van Frankenhuysen, Machiel, 1967-

Description

x, 268 pages : illustrations; 25 cm

Subject

Bibliography (note)

Includes bibliographical references (p. [235]-252) and indexes.

Contents

1. Complex Dimensions of Ordinary Fractal Strings -- 2. Complex Dimensions of Self-Similar Fractal Strings -- 3. Generalized Fractal Strings Viewed as Measures -- 4. Explicit Formulas for Generalized Fractal Strings -- 5. The Geometry and the Spectrum of Fractal Strings -- 6. Tubular Neighbourhoods and Minkowski Measurability -- 7. The Riemann Hypothesis, Inverse Spectral Problems and Oscillatory Phenomena -- 8. Generalized Cantor Strings and their Oscillations -- 9. The Critical Zeros of Zeta Functions -- 10. Concluding Comments -- A. Zeta Functions in Number Theory -- B. Zeta Functions of Laplacians and Spectral Asymptotics.

ISBN

0817640983
9780817640989

OCLC

on1088318845
1088318845
SCSB-928458

Owning Institutions

Princeton University Library