English

Porosities and dimensions of measures

chao-dyn 2009-10-31 v1 Astrophysics Mathematical Physics math.MP Chaotic Dynamics

Abstract

We introduce a concept of porosity for measures and study relations between dimensions and porosities for two classes of measures: measures on RnR^n which satisfy the doubling condition and strongly porous measures on RR.

Keywords

Cite

@article{arxiv.chao-dyn/9903024,
  title  = {Porosities and dimensions of measures},
  author = {Jean-Pierre Eckmann and Esa Jarvenpaa and Maarit Jarvenpaa},
  journal= {arXiv preprint arXiv:chao-dyn/9903024},
  year   = {2009}
}

Comments

Jarvenpaa = J\"arvenp\"a\"a