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  • random self-similar measures  (1)
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    Electronic Resource
    Electronic Resource
    Fourier asymptotics of statistically self-similar measures (1999)
    Springer
    The journal of Fourier analysis and applications 5 (1999), S. 355-362 
    Details
    ISSN: 1531-5851
    Keywords: 28A80 ; 42B10 ; 60G57 ; random self-similar measures ; Fourier dimension ; Salem sets
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper we investigate the pointwise Fourier decay of some selfsimilar random measures. As an application we construct statistically selfsimilar Salem sets. For example, our result shows that a “slight” random perturbation of the classical Cantor set becomes a “nice” set in the sense that its Fourier dimension equals its Hausdorff dimension.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01259376
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