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Logarithmic multifractal spectrum of stable occupation measure

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  • Shieh, Narn-Rueih
  • Taylor, S. James

Abstract

For a stable subordinator Yt of index [alpha], 0 1, and B[theta] [not equal to] [empty set][combining character] for 0[less-than-or-equals, slant][theta][less-than-or-equals, slant]1; moreover, dim B[theta]=Dim B[theta]=[alpha](1-[theta]1/(1-[alpha])).

Suggested Citation

  • Shieh, Narn-Rueih & Taylor, S. James, 1998. "Logarithmic multifractal spectrum of stable occupation measure," Stochastic Processes and their Applications, Elsevier, vol. 75(2), pages 249-261, July.
    • Handle: RePEc:eee:spapps:v:75:y:1998:i:2:p:249-261
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    References listed on IDEAS

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    1. Hu, Xiaoyu & Taylor, S. James, 1997. "The multifractal structure of stable occupation measure," Stochastic Processes and their Applications, Elsevier, vol. 66(2), pages 283-299, March.
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    Cited by:

    1. Fan, Ai Hua & Shieh, Narn-Rueih, 2000. "Multifractal spectra of certain random Gibbs measures," Statistics & Probability Letters, Elsevier, vol. 47(1), pages 25-31, March.
    2. Hu, Xiaoyu & Taylor, S. James, 2000. "Multifractal structure of a general subordinator," Stochastic Processes and their Applications, Elsevier, vol. 88(2), pages 245-258, August.
    3. Mörters, Peter & Shieh, Narn-Rueih, 2002. "Thin and thick points for branching measure on a Galton-Watson tree," Statistics & Probability Letters, Elsevier, vol. 58(1), pages 13-22, May.

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    1. Hu, Xiaoyu & Taylor, S. James, 2000. "Multifractal structure of a general subordinator," Stochastic Processes and their Applications, Elsevier, vol. 88(2), pages 245-258, August.
    2. Fan, Ai Hua & Shieh, Narn-Rueih, 2000. "Multifractal spectra of certain random Gibbs measures," Statistics & Probability Letters, Elsevier, vol. 47(1), pages 25-31, March.
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