English

On randomly placed arcs on the circle

Probability 2008-06-06 v1 Metric Geometry

Abstract

We completely describe in terms of Hausdorff measures the size of the set of points of the circle that are covered infinitely often by a sequence of random arcs with given lengths. We also show that this set is a set with large intersection.

Keywords

Cite

@article{arxiv.0806.0880,
  title  = {On randomly placed arcs on the circle},
  author = {Arnaud Durand},
  journal= {arXiv preprint arXiv:0806.0880},
  year   = {2008}
}

Comments

6 pages

R2 v1 2026-06-21T10:47:39.207Z