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The construction of statistically recursive sets
Authors:Hu Dihe
Institution:(1) College of Mathematical Sciences, Wuhan University, 430072 Wuhan, China
Abstract:We have constructed a class of random sets by statistical contraction operators in this paper. When the probability space is some special product space and the statistical contraction operators are affine or similar, these statistically recursive sets are investigated by many authors. It will be very convenient for us to study their distributions and dimensions and measures using our model in this paper. Supported by the National Natural Science Foundation and the Doctoral Progamme Foundation of China Hu Dihe: born in 1935, Professor
Keywords:statistically recursive set  statistical contraction operator  statistically affine contraction operator  statistically similar contraction operator
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