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I. i. d. statistical contraction operators and statistically self-similar sets (Q1861021)

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scientific article; zbMATH DE number 1877199
Language Label Description Also known as
English
I. i. d. statistical contraction operators and statistically self-similar sets
scientific article; zbMATH DE number 1877199

    Statements

    title
    I. i. d. statistical contraction operators and statistically self-similar sets (English)
    0 references
    author
    Dihe Hu
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    publication date
    16 June 2003
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    review text
    A random compact set in a bounded Polish space is statistically self-similar if its distribution is a statistically self-similar measure under stochastic contraction operators. The author proves that a random recursive set generated by i.i.d. stochastic contraction operators with Lipshitz coefficients a.s. bounded by \(\alpha<1\) is always statistically self-similar.
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    zbMATH Keywords
    self-similar set
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    random recursive set
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    stochastic contraction
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    Identifiers

    zbMATH DE Number
    1877199
    0 references
     
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