A note on random coverings of tori

作者:Persson Tomas*
来源:Bulletin of the London Mathematical Society, 2015, 47(1): 7-12.
DOI:10.1112/blms/bdu087

摘要

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.

  • 出版日期2015-2