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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
Fractal Zeta Functions and Fractal Drums
Language: en
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Authors: Michel L. Lapidus
Categories: Mathematics
Type: BOOK - Published: 2017-06-07 - Publisher: Springer

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This monograph gives a state-of-the-art and accessible treatment of a new general higher-dimensional theory of complex dimensions, valid for arbitrary bounded s
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
Fractal Geometry and Number Theory
Language: en
Pages: 277
Authors: Michel L. Lapidus
Categories: Mathematics
Type: BOOK - Published: 2013-12-01 - Publisher: Springer Science & Business Media

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A fractal drum is a bounded open subset of R. m with a fractal boundary. A difficult problem is to describe the relationship between the shape (geo metry) of th
Fractal Geometry and Stochastics V
Language: en
Pages: 339
Authors: Christoph Bandt
Categories: Mathematics
Type: BOOK - Published: 2015-07-08 - Publisher: Birkhäuser

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This book collects significant contributions from the fifth conference on Fractal Geometry and Stochastics held in Tabarz, Germany, in March 2014. The book is d