关键词: a.s. self-similar set, Hausdorff metric, fixed point, structure, approximation

Abstract:

The structure of any a.s. self-similar set
$K(\bar{\omega})$ generated by a class of random elements
$\{g^{(\bar{\omega})}_{n,\sigma }\}$ taking values in the space of
contractive operators is given and  the approximation of
 $K(\bar{\omega})$ by the fixed points $\{p^{(\bar{\omega})}_{n,\sigma }\}$
of $\{g^{(\bar{\omega})}_{n,\sigma }\}$ is obtained.
It is useful to generate the fractal in computer.

Key words: a.s. self-similar set, Hausdorff metric, fixed point, structure, approximation