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Exact packing dimension in random recursive constructions
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  • Published: 18 June 2003

Exact packing dimension in random recursive constructions

  • Artemi Berlinkov1 

Probability Theory and Related Fields volume 126, pages 477–496 (2003)Cite this article

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Abstract

We explore the exact packing dimension of certain random recursive constructions. In case of polynomial decay at 0 of the distribution function of random variable X, associated with the construction, we prove that it does not exist, and in case of exponential decay it is t α|log|logt||β, where α is the fractal dimension of the limit set and 1/β is the rate of exponential decay.

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Author information

Authors and Affiliations

  1. Matematiikan Laitos, Jyväskylän Yliopisto, PL 35, Jyväskylä, 40014, Finland

    Artemi Berlinkov

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  1. Artemi Berlinkov
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Corresponding author

Correspondence to Artemi Berlinkov.

Additional information

Research supported by the Department of Mathematics and Statistics (Mathematics) at University of Jyväskylä.

Mathematics Subject Classification (2000):Primary 28A78, 28A80; Secondary 60D05, 60J80

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Cite this article

Berlinkov, A. Exact packing dimension in random recursive constructions. Probab. Theory Relat. Fields 126, 477–496 (2003). https://doi.org/10.1007/s00440-003-0281-3

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  • Received: 30 November 2002

  • Revised: 23 April 2003

  • Published: 18 June 2003

  • Issue Date: August 2003

  • DOI: https://doi.org/10.1007/s00440-003-0281-3

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Keywords

  • Exact packing dimension
  • Packing measure
  • Random strong open set condition
  • Random fractal
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