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.