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math.DS2019★ 3 cited
On the projections of the multifractal Hewitt-Stromberg dimension functions
Bilel Selmi
The aim of this paper is to study the behavior of the multifractal Hewitt-Stromberg dimension functions under projections in Euclidean space. As an application, we study the multif…
math.DS2019
Local dimensions and quantization dimensions in dynamical systems
Mrinal Kanti Roychowdhury, Bilel Selmi
Let be a Borel probability measure generated by a hyperbolic recurrent iterated function system defined on a nonempty compact subset of . We study the Hausdorff an…