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两个独立稳定从属过程占位时测度投影的重分形性质 被引量:3

The multifractal structure of the projection of the product of two independent stable occupation measures
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摘要 主要研究了2个独立稳定从属过程的占位时测度之积在直线y=x上产生的投影测度μ_π/4的重分形性质. This article mainly studies the multifractal structure of the projection measure μπ/4 on the line y=x,generated by the product of two independent stable occupation measures.
作者 沈丹
出处 《中国科学院研究生院学报》 CAS CSCD 2008年第2期145-150,共6页 Journal of the Graduate School of the Chinese Academy of Sciences
基金 国家自然科学基金(10471148)资助
关键词 稳定过程 占位时测度 HAUSDORFF测度 重分形谱 stable process,occupation measure,Hausdorff dimension,multifractal spectrum
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参考文献7

  • 1Hu X, Taylor SJ. The multifractal structure of stable occupation measure. Stochastic Proces Appl, 1997,66 : 283 - 299
  • 2Taylor SJ. The use of packing measure in the analysis of random sets. Stochastic Process Appl ( Nagoya ), 1986,214-222
  • 3Taylor SJ,Wendel JG.The exact Hausdorff measure of the zero set of a stable process. Z Wahr Verw Geb ,1966,6:170 - 180
  • 4Hu X,Taylor SJ.The multifractal structure of stable occupation measure. Stochastic Process Appl, 1997,66:283 - 299
  • 5Hu X. Some fractal sets determined by stable processes. Probab Theory Related Fields, 1994,100:205 - 225
  • 6Shen D, Hu X. The multifractal structure of the product of two stable occupation measures. Preprint, submitted to Stochastic Process Appl
  • 7Falconer KJ.The Geometry of fractal sets. Cambridge Univ Press, 1985

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