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Creators/Authors contains: "Vardakis, Dimitris"

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  1. ; (, Journal of Mathematical Analysis and Applications)
    Aron, R. (Ed.)
    A model of randomness for self-similar Cantor sets was considered. Th expectation of Buffon needle probability (Favard length) for small neighborhood of such random sets was estimated as logarithmic in the smallness was proved. It is best possible by P. Mattila classical estimate. 
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    Full Text Available 
  2. ; (, St Petersburg mathematical journal)
    Kisliakov, Sergei; Nikolski, Nikolai (Ed.)
    The local Lipschitz property is shown for the graphs avoiding multiple point intersection with lines directed in a given cone. The assumption is much stronger than those of Marstrand’s well-known theorem, but the conclusion is much stronger too. Additionally, a continuous curve with a similar property is σ-finite with respect to Hausdorff length and an estimate on the Hausdorff measure of each “piece” is found. 
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    Accepted Manuscript Full Text Available
  3. ; (, Comptes Rendus. Mathématique)
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