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Fractal Zeta Functions and Fractal Drums
Language: en
Pages: 685
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
Zeta Functions and Complex Dimensions of Relative Fractal Drums
Language: en
Pages:
Authors: Michel L. Lapidus
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Horizons of Fractal Geometry and Complex Dimensions
Language: en
Pages: 320
Authors: Robert G. Niemeyer
Categories: Mathematics
Type: BOOK - Published: 2019-06-26 - Publisher: American Mathematical Soc.

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This volume contains the proceedings of the 2016 Summer School on Fractal Geometry and Complex Dimensions, in celebration of Michel L. Lapidus's 60th birthday,
Analysis, Probability And Mathematical Physics On Fractals
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Authors: Patricia Alonso Ruiz
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Type: BOOK - Published: 2020-02-26 - Publisher: World Scientific

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In the 50 years since Mandelbrot identified the fractality of coastlines, mathematicians and physicists have developed a rich and beautiful theory describing th
Quantized Number Theory, Fractal Strings And The Riemann Hypothesis: From Spectral Operators To Phase Transitions And Universality
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Authors: Hafedh Herichi
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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