【摘要】 Dryakhlov和Tempelman对具有有限记忆的随机分形集的Hausdorff维数进行了研究,本文对具有有限记忆的随机分形集K(ω)的重分形分解集Kα(ω)进行研究,得到了在一定条件下,这种随机分形集重分形分解集Kα(ω)的Hausdorff维数表达式.更多还原

【Abstract】 The Hausdorff dimension about random fractal sets with finite memory has been studied by Dryakhlov and Tempelman. In this paper, the multifractal decomposition of random fractal sets with finite memory is researched and under some certain conditions the Hausdorff dimension expression of the multifractal decomposition set Kα(ω) for random fractal set with finite memory is given.更多还原