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
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
Journal title :
Stochastic Processes and their Applications
