A note on random coverings of tori

@article{Persson2013ANO,
  title={A note on random coverings of tori},
  author={Tomas Persson},
  journal={Bulletin of the London Mathematical Society},
  year={2013},
  volume={47}
}
  • T. Persson
  • Published 4 July 2013
  • Mathematics
  • Bulletin of the London Mathematical Society
This note provides a generalization of a recent result by Järvenpää, Järvenpää, Koivusalo, Li, and Suomala (to appear) on the dimension of limsup‐sets of random coverings of tori. The result in this note is stronger in the sense that it provides also a large intersection property of the limsup‐sets, the assumptions are weaker, and it implies the result of Järvenpää, Järvenpää, Koivusalo, Li, and Suomala as a special case. The proof is based on a recent result by Persson and Reeve from 2013. 

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E-mail address: tomasp@maths.lth.se