ENGLISH

Fractal geometry, complex dimensions and zeta functions : geometry and spectra of fractal strings

Book information

Publisher
Springer
Year
2013
ISBN
9781461421764, 1461421764
Language
english
Format
PDF
Filesize
3 MB (3333062 bytes)
Series
Springer monographs in mathematics
Edition
2ed.
Pages
582\583
Library
Kolxo3
Time added
2013-05-29 16:00:00

Description

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 -- Fractal Tube Formulas -- Riemann Hypothesis and Inverse Spectral Problems -- Generalized Cantor Strings and their Oscillations -- Critical Zeros of Zeta Functions -- Fractality and Complex Dimensions -- New Results and Perspectives

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