Title of article
The necessary and sufficient conditions for various self-similar sets and their dimension
Author/Authors
Hu، نويسنده , , Dihe، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2000
Pages
20
From page
243
To page
262
Abstract
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.
Keywords
Statistically self-similar sets , A.s. self-similar sets , Hausdorff dimension , Statistically recursive sets , Statistical contraction operators
Journal title
Stochastic Processes and their Applications
Serial Year
2000
Journal title
Stochastic Processes and their Applications
Record number
1576727
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