English

Two Measures on Cantor Sets

Classical Analysis and ODEs 2016-09-01 v1 Metric Geometry

Abstract

We give an example of Cantor type set for which its equilibrium measure and the corresponding Hausdorff measure are mutually absolutely continuous. Also we show that these two measures are regular in Stahl-Totik sense.

Keywords

Cite

@article{arxiv.1404.6571,
  title  = {Two Measures on Cantor Sets},
  author = {Gokalp Alpan and Alexander Goncharov},
  journal= {arXiv preprint arXiv:1404.6571},
  year   = {2016}
}
R2 v1 2026-06-22T03:59:03.882Z