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Dimensions of measures on perturbed Cantor sets

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Publication:1612250
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DOI10.1016/S0166-8641(01)00146-8zbMath1052.28002MaRDI QIDQ1612250

Munetaka Nakamura, Satoshi Ikeda

Publication date: 22 August 2002

Published in: Topology and its Applications (Search for Journal in Brave)


zbMATH Keywords

thermodynamic formalismHausdorff dimensionpacking dimensionCantor setsBorel measuresdimension of measure


Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78) Dimension theory of smooth dynamical systems (37C45)


Related Items

The local dimensions of some Moran measures with open set condition, Dimensions of subsets of Cantor-type sets, The equivalence of measures on Moran set in general metric space



Cites Work

  • Unnamed Item
  • Hausdorff dimension of quasi-circles
  • Packing Measure, and its Evaluation for a Brownian Path
  • Two definitions of fractional dimension
  • Sur les dimensions de mesures
  • The exact hausdorff measure of the zero set of a stable process
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