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Random closed sets viewed as random recursions

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Publication:1016507
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DOI10.1007/s00153-009-0126-6zbMath1165.03027OpenAlexW2009920879MaRDI QIDQ1016507

R. Daniel Mauldin, Alexander P. McLinden

Publication date: 6 May 2009

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00153-009-0126-6


zbMATH Keywords

Hausdorff dimensionHausdorff measurerandom closed setsrandom recursion


Mathematics Subject Classification ID

Applications of computability and recursion theory (03D80)


Related Items (3)

Exact constructive and computable dimensions ⋮ Constructive Dimension and Hausdorff Dimension: The Case of Exact Dimension ⋮ MARTIN-LÖF RANDOMNESS IN SPACES OF CLOSED SETS



Cites Work

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  • Statistically self-similar fractals
  • Packing measure and dimension of random fractals
  • Random Recursive Constructions: Asymptotic Geometric and Topological Properties
  • The exact Hausdorff dimension in random recursive constructions
  • Algorithmic Randomness of Closed Sets




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