The classification of statistically recursive sets |
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| Authors: | Hu Dihe |
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| Institution: | (1) College of Mathematical Sciences, Wuhan University, 430072 Wuhan, China |
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| Abstract: | The main aim of this paper is to make a classification of random setsK
m
(ω) constructed in theorem 2. 1 and theorem 2. 1′ in 1]. We provide five criterions for the classification. Many kinds of
random sets such as Hawkes constructed in 2], Graf constructed in 3] and Mauldin constructed in 4] are the special cases
ofK
m
(ω) constructed in 1], and then these random sets belong to some model respectively according to our classification.
Supported by the National Natural Science Fundation and the Doctal Programme Fundation of China
Hu Dihe: born in May 1935, Professor |
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| Keywords: | statistically recursive sets classification statistical contraction operator spectrum |
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