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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
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
Analysis, Probability And Mathematical Physics On Fractals
Language: en
Pages: 594
Authors: Patricia Alonso Ruiz
Categories: Mathematics
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
Horizons of Fractal Geometry and Complex Dimensions
Language: en
Pages: 302
Authors: Robert G. Niemeyer
Categories: Fractals
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,
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