Minkowski Dimension and Explicit Tube Formulas for p-Adic Fractal Strings

Minkowski Dimension and Explicit Tube Formulas for p-Adic Fractal Strings

The theory of complex dimensions describes the oscillations in the geometry (spectra and dynamics) of fractal strings. Such geometric oscillations can be seen most clearly in the explicit volume formula for the tubular neighborhoods of a p-adic fractal string L p , expressed in terms of the u...

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Bibliographic Details
Main Authors: Michel L. Lapidus, Hùng Lũ’, Machiel van Frankenhuijsen
Format: Article
Language:English
Published: MDPI AG 2018-10-01
Series:Fractal and Fractional
Subjects:
fractal geometry
p-adic analysis
p-adic fractal strings
zeta functions
complex dimensions
Minkowski dimension
fractal tubes formulas
p-adic self-similar strings
Cantor
Euler and Fibonacci strings
Online Access:http://www.mdpi.com/2504-3110/2/4/26

Internet

http://www.mdpi.com/2504-3110/2/4/26

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