How behave the typical $L^q$-dimensions of measures?
Classical Analysis and ODEs
2012-03-14 v1
Abstract
We compute, for a compact set , the value of the upper and of the lower -dimension of a typical probability measure with support contained in , for any . Different definitions of the "dimension" of are involved to compute these values, following .
Cite
@article{arxiv.1203.2813,
title = {How behave the typical $L^q$-dimensions of measures?},
author = {Frédéric Bayart},
journal= {arXiv preprint arXiv:1203.2813},
year = {2012}
}