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math.DS2018★ 48 cited
A multifractal formalism for Hewitt-Stromberg measures
Najmeddine Attia, Bilel Selmi
In the present work, we give a new {\it multifractal formalism} for which the classical multifractal formalism does not hold. We precisely introduce and study a multifractal formal…
math.MG2018★ 14 cited
Multifractal dimensions for projections of measures
Bilel Selmi
In this paper, we study the multifractal Hausdorff and packing dimensions of Borel probability measures and study their behaviors under orthogonal projections. In particular, we tr…