A REMARK ON THE HAUSDORFF DIMENSION OF CERTAIN NON-SELF-SIMILAR ATTRACTORS

Citation:

Liu Honggen.A REMARK ON THE HAUSDORFF DIMENSION OF CERTAIN NON-SELF-SIMILAR ATTRACTORS[J].Chinese Annals of Mathematics B,1997,18(1):119~124
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Authors:

Liu Honggen;
Abstract: Ellis and Branton introduced a class of non-self-similar sets; they gave an upper bound of Hausdorff dimension for such sets, and a conjecture of the lower bound for these sets. This paper gives a proof of this conjecture by using the lemma of Frostman.

Keywords:

Non-self-similar attractor, Hausdorff dimension, Ellis and Branton conjecture,Iterated function system

Classification:

54F50, 58F12
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