English

On the Mori-Szekely conjectures for the Borel-Cantelli lemma

Number Theory 2013-04-03 v1 Combinatorics Probability

Abstract

The purpose of this note is to show by constructing counterexamples that two conjectures of M\'{o}ri and Sz\'{e}kely for the Borel-Cantelli lemma are false.

Keywords

Cite

@article{arxiv.1304.0489,
  title  = {On the Mori-Szekely conjectures for the Borel-Cantelli lemma},
  author = {Chunrong Feng and Liangpan Li},
  journal= {arXiv preprint arXiv:1304.0489},
  year   = {2013}
}

Comments

Accepted by the Studia Scientiarum Mathematicarum Hungarica journal