The necessary and sufficient conditions for various self-similar sets and their dimension

We have given several necessary and sufficient conditions for statistically self-similar sets and a.s. self-similar sets and have got the Hausdorff dimension and exact Hausdorff measure function of any a.s. self-similar set in this paper. It is useful in the study of probability properties and fractal properties and structure of statistically recursive sets.

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Year of publication:	2000
Authors:	Hu, Dihe
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 90.2000, 2, p. 243-262
Publisher:	Elsevier
Keywords:	Statistically self-similar sets A.s. self-similar sets Hausdorff dimension Statistically recursive sets Statistical contraction operators

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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