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Persistence intervals of fractals

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Publication:1782816
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DOI10.1016/j.physa.2014.03.037zbMath1395.28001OpenAlexW2022302721MaRDI QIDQ1782816

Gabriell Máté, Dieter W. Heermann

Publication date: 20 September 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2014.03.037


zbMATH Keywords

topological invariantstopologyfractal dimensionfractalsP.H. dimensionpersistence intervals


Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Fractals (28A80) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)


Related Items

Persistence landscapes of affine fractals ⋮ Fractal dimension and the persistent homology of random geometric complexes


Uses Software

  • Perseus
  • Dionysus


Cites Work

  • Unnamed Item
  • Unnamed Item
  • On a spectral analysis for the Sierpiński gasket.
  • Self-modulation processes and resulting generic \(1/f\) fluctuations
  • Measuring shape with topology
  • On the open set condition for self-similar fractals
  • Topology and data
  • On the shape of a set of points in the plane
  • Barcodes: The persistent topology of data
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