Fractal Geometry, Complex Dimensions and Zeta Functions

Mapping Intimacies ◽

10.1007/978-0-387-35208-4 ◽

2006 ◽

Author(s):

Michel L. Lapidus ◽

Machiel van Frankenhuijsen

Keyword(s):

Fractal Geometry ◽

Zeta Functions ◽

Complex Dimensions

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FRACTAL GEOMETRY AND NUMBER THEORY: COMPLEX DIMENSIONS OF FRACTAL STRINGS AND ZEROS OF ZETA FUNCTIONS

Bulletin of the London Mathematical Society ◽

10.1112/blms/33.2.254 ◽

2001 ◽

Vol 33 (2) ◽

pp. 254-255

Author(s):

L. Olsen

Keyword(s):

Number Theory ◽

Fractal Geometry ◽

Zeta Functions ◽

Fractal Strings ◽

Complex Dimensions

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

Choice Reviews Online ◽

10.5860/choice.44-4501 ◽

2007 ◽

Vol 44 (08) ◽

pp. 44-4501-44-4501

Keyword(s):

Fractal Geometry ◽

Zeta Functions ◽

Fractal Strings ◽

Complex Dimensions

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Fractal Geometry, Complex Dimensions and Zeta Functions

10.1007/978-1-4614-2176-4 ◽

2013 ◽

Author(s):

Michel L. Lapidus ◽

Machiel van Frankenhuijsen

Keyword(s):

Fractal Geometry ◽

Zeta Functions ◽

Complex Dimensions

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Partition zeta functions, multifractal spectra, and tapestries of complex dimensions

Benoit Mandelbrot - Fractals and Dynamics in Mathematics, Science, and the Arts: Theory and Applications ◽

10.1142/9789814366076_0012 ◽

2015 ◽

pp. 267-322 ◽

Author(s):

Kate E. Ellis ◽

Michel L. Lapidus ◽

Michael C. Mackenzie ◽

John A. Rock

Keyword(s):

Zeta Functions ◽

Complex Dimensions ◽

Multifractal Spectra

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Random fractal strings: Their zeta functions, complex dimensions and spectral asymptotics

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-05-03646-9 ◽

2005 ◽

Vol 358 (1) ◽

pp. 285-314 ◽

Author(s):

B. M. Hambly ◽

Michel L. Lapidus

Keyword(s):

Zeta Functions ◽

Spectral Asymptotics ◽

Fractal Strings ◽

Random Fractal ◽

Complex Dimensions

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Fractal zeta functions and complex dimensions of relative fractal drums

Journal of Fixed Point Theory and Applications ◽

10.1007/s11784-014-0207-y ◽

2014 ◽

Vol 15 (2) ◽

pp. 321-378 ◽

Author(s):

Michel L. Lapidus ◽

Goran Radunović ◽

Darko Žubrinić

Keyword(s):

Zeta Functions ◽

Complex Dimensions

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Zeta functions and complex dimensions of relative fractal drums: theory, examples and applications

Dissertationes Mathematicae ◽

10.4064/dm757-4-2017 ◽

2017 ◽

Vol 526 ◽

Author(s):

Michel L. Lapidus ◽

Goran Radunović ◽

Darko Žubrinić

Keyword(s):

Zeta Functions ◽

Complex Dimensions

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Horizons of Fractal Geometry and Complex Dimensions

10.1090/conm/731 ◽

2019 ◽

Keyword(s):

Fractal Geometry ◽

Complex Dimensions

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Fractal Zeta Functions and Complex Dimensions: A General Higher-Dimensional Theory

Fractal Geometry and Stochastics V - Progress in Probability ◽

10.1007/978-3-319-18660-3_13 ◽

2015 ◽

pp. 229-257 ◽

Author(s):

Michel L. Lapidus ◽

Goran Radunović ◽

Darko Žubrinić

Keyword(s):

Zeta Functions ◽

Dimensional Theory ◽

Complex Dimensions ◽

Higher Dimensional

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Complex dimensions of fractal strings and oscillatory phenomena in fractal geometry and arithmetic

Spectral Problems in Geometry and Arithmetic - Contemporary Mathematics ◽

10.1090/conm/237/1710790 ◽

1999 ◽

pp. 87-105 ◽

Author(s):

Michel L. Lapidus ◽

Machiel van Frankenhuysen

Keyword(s):

Fractal Geometry ◽

Fractal Strings ◽

Complex Dimensions

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