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On dimensions and measures of statistically constructed Cantor sets

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Publication:1286609
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DOI10.1007/BF02432362zbMath0917.28008MaRDI QIDQ1286609

K. Appert

Publication date: 2 May 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)


zbMATH Keywords

Hausdorff dimensionpacking dimensionrandom Cantor sets


Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fractals (28A80) Hausdorff and packing measures (28A78)





Cites Work

  • Unnamed Item
  • Hausdorff dimension of quasi-circles
  • Packing Measure, and its Evaluation for a Brownian Path
  • Ruelle's transfer operator for random subshifts of finite type
  • Equilibrium states and the ergodic theory of Anosov diffeomorphisms




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