English

The multifractal box dimensions of typical measures

Classical Analysis and ODEs 2013-04-10 v1 Probability

Abstract

We compute the typical (in the sense of Baire's category theorem) multifractal box dimensions of measures on a compact subset of Rd\mathbb R^d. Our results are new even in the context of box dimensions of measures.

Keywords

Cite

@article{arxiv.1204.6014,
  title  = {The multifractal box dimensions of typical measures},
  author = {Frédéric Bayart},
  journal= {arXiv preprint arXiv:1204.6014},
  year   = {2013}
}
R2 v1 2026-06-21T20:55:18.057Z