Measuring Anisotropy in Planar Sets

We define and discuss a pure mathematics formulation of an approach proposed in the physics literature to analysing anistropy of fractal sets. Mathematical Reviews subject classification: Primary: 26A03, 26A04; Secondary: 26A05 Key words: anisotropic dimension spectrum, Hausdorff dimension, anisotro...

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Published inReal analysis exchange Vol. 43; no. 1; pp. 51 - 56
Main Author Toby C. O'Neil
Format Journal Article
LanguageEnglish
Published East Lansing Michigan State University Press 01.01.2018
Subjects
Anisotropy
Correlation analysis
Ellipses
Fractals
Geometric planes
Mass spectroscopy
Plenary Lectures
Set theory
Spectral correlation
Spectrum analysis
Online AccessGet full text
ISSN0147-1937
1930-1219
DOI10.14321/realanalexch.43.1.0051

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Abstract We define and discuss a pure mathematics formulation of an approach proposed in the physics literature to analysing anistropy of fractal sets. Mathematical Reviews subject classification: Primary: 26A03, 26A04; Secondary: 26A05 Key words: anisotropic dimension spectrum, Hausdorff dimension, anisotropy
AbstractList We define and discuss a pure mathematics formulation of an approach proposed in the physics literature to analysing anistropy of fractal sets. Mathematical Reviews subject classification: Primary: 26A03, 26A04; Secondary: 26A05 Key words: anisotropic dimension spectrum, Hausdorff dimension, anisotropy
We define and discuss a pure mathematics formulation of an approach proposed in the physics literature to analysing anistropy of fractal sets.
Author Toby C. O'Neil
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StartPage 51
SubjectTerms Anisotropy
Correlation analysis
Ellipses
Fractals
Geometric planes
Mass spectroscopy
Plenary Lectures
Set theory
Spectral correlation
Spectrum analysis
Title Measuring Anisotropy in Planar Sets
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