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Generalized Minkowski Content, Spectrum of Fractal Drums, Fractal Strings and the Riemann Zeta-Functions
Language: en
Pages: 114
Authors: Christina Q. He
Categories: Mathematics
Type: BOOK - Published: 1997 - Publisher: American Mathematical Soc.

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This memoir provides a detailed study of the effect of non power-like irregularities of (the geometry of) the fractal boundary on the spectrum of "fractal drums
Generalized Minkowski Content, Spectrum of Fractal Drums, Fractal Strings
Language: en
Pages: 114
Authors: Christina Q. He
Categories: Differential equations, Partial
Type: BOOK - Published: 2014-09-11 - Publisher: Oxford University Press, USA

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This memoir provides a detailed study of the effect of non power-like irregularities of (the geometry of) the fractal boundary on the spectrum of fractal drums
Fractal Geometry, Complex Dimensions and Zeta Functions
Language: en
Pages: 583
Authors: Michel L. Lapidus
Categories: Mathematics
Type: BOOK - Published: 2012-09-20 - Publisher: Springer Science & Business Media

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Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional dru
Advances in Non-Archimedean Analysis
Language: en
Pages: 294
Authors: Jesus Araujo-Gomez
Categories: Mathematics
Type: BOOK - Published: 2011 - Publisher: American Mathematical Soc.

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These collected articles feature recent developments in various areas of non-Archimedean analysis: Hilbert and Banach spaces, finite dimensional spaces, topolog
Quantized Number Theory, Fractal Strings And The Riemann Hypothesis: From Spectral Operators To Phase Transitions And Universality
Language: en
Pages: 494
Authors: Hafedh Herichi
Categories: Mathematics
Type: BOOK - Published: 2021-07-27 - Publisher: World Scientific

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Studying the relationship between the geometry, arithmetic and spectra of fractals has been a subject of significant interest in contemporary mathematics. This