English

A multifractal formalism for Hewitt-Stromberg measures

Dynamical Systems 2019-10-29 v2

Abstract

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 formalism based on the Hewitt-Stromberg measures and that this formalism is completely parallel to Olsen's multifractal formalism which based on the Hausdorff and packing measures.

Cite

@article{arxiv.1812.09780,
  title  = {A multifractal formalism for Hewitt-Stromberg measures},
  author = {Najmeddine Attia and Bilel Selmi},
  journal= {arXiv preprint arXiv:1812.09780},
  year   = {2019}
}

Comments

arXiv admin note: text overlap with arXiv:1307.5223 by other authors

R2 v1 2026-06-23T06:55:03.427Z