Hausdorff dimensions of random net fractals

Jin-Rong Liang and Fu-Yao Ren

Stochastic Processes and their Applications, 1998, vol. 74, issue 2, 235-250

Abstract: This paper studies the Hausdorff dimensions of random non-self-similar fractals. Here, we obtain the Hausdorff dimensional estimates of random net fractals generated by random contractions (including random transformation contraction and random ratio contraction). In addition, we give the definition of a random cookie-cutter set in and obtain its dimension formula.

Keywords: Random; net; fractals; Random; self-similar; fractals; Random; cookie-cutter; sets; Hausdorff; dimensions (search for similar items in EconPapers)
Date: 1998
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