Journal of the
Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2014; 51(5): 1075-1088

Printed September 1, 2014

https://doi.org/10.4134/JKMS.2014.51.5.1075

Copyright © The Korean Mathematical Society.

Packing dimensions of generalized random Moran sets

Xin Tong, Yue-li Yu, and Xiao-jun Zhao

Wuhan University, Wuhan University, Peking University

Abstract

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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.

Keywords: generalized random Moran construction, packing dimension, negative moment

MSC numbers: Primary 60D05; Secondary 28A80, 28A78

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