A note on random coverings of tori

Summary, in English

This note provides a generalization of a recent result by Jarvenpaa, Jarvenpaa, 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 Jarvenpaa, Jarvenpaa, Koivusalo, Li, and Suomala as a special case. The proof is based on a recent result by Persson and Reeve from 2013.

• Författare: Tomas Persson
• Avdelning/ar: Matematik LTH; Dynamical systems
• Publiceringsår: 2015
• Språk: Engelska
• Sidor: 7-12
• Publikation/Tidskrift/Serie: Bulletin of the London Mathematical Society
• Volym: 47
• Länkar: https://arxiv.org/abs/1307.1455; http://dx.doi.org/10.1112/blms/bdu087
• Dokumenttyp: Artikel i tidskrift
• Förlag: Oxford University Press
• Ämne: Mathematics
• Status: Published
• Forskningsgrupp: Dynamical systems
• ISBN/ISSN/Övrigt: ISSN: 1469-2120