The structure of any a.s. self-similar set K(w) generated by a class of random elements {gn,wσ} taking values in the space of contractive operators is given and the approximation of K(w) by the fixed points {Pn,wσ} of {gn,ow} is obtained. It is useful to generate the fractal in computer.
机构:
Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci, I-00133 Rome, ItalyUniv Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci, I-00133 Rome, Italy
机构:
Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R ChinaChinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
Feng, De-Jun
Rao, Hui
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Cent China Normal Univ, Dept Math & Stat, Wuhan 430070, Hubei, Peoples R ChinaChinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
Rao, Hui
Wang, Yang
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Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Hong Kong, Peoples R China
Michigan State Univ, Dept Math, E Lansing, MI 48824 USAChinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China