On the Innuence of Coverings in Multifractal Analysis

  • Robert VOJAK
  • Published 2007

Abstract

We study the innuence of coverings on the local dimensions of positive measures. Open balls and b-adic intervals are considered. We show that both coverings yield the same local dimension, except possibly on a set of Hausdorr dimension 0. As an application, we study a measure whose multifractal spectrum is covering dependent. Sur l'innuence des… (More)

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