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PACKING DIMENSIONS OF GENERALIZED RANDOM MORAN SETS

XinTong|Yue-li Yu|Xiao-jun Zhao
대한수학회 (The Korean Mathematical Society)|2014.09|대한수학회지 (Journal of the KMS)|제51권 제5호|pp. 1075-1088

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참고문헌

키워드

packing dimensiongeneralized random Moran constructionneg- ative moment.
주제분류수학

초록

We consider random fractal sets with random recursive con- structions in which the contracting vectors have different distributions at different stages. We prove that the random fractal associated with such construction has a constant packing dimension almost surely and give an explicit formula to determine it.

Abstract

We consider random fractal sets with random recursive constructions in which the contracting vectors have different distributions at different stages. We prove that the random fractal associated with such construction has a constant packing dimension almost surely and give an explicit formula to determine it.

참고문헌 (22)

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