Covering the circle with random open sets.

Jinghu Yu

doi:rae/1149860198

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Home > Journals > Real Anal. Exchange > Volume 29 > Issue 1 > Article

2003-2004 Covering the circle with random open sets.

Jinghu Yu

Author Affiliations +

Jinghu Yu¹
¹Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences

Real Anal. Exchange 29(1): 341-354 (2003-2004).

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Abstract

The Dvoretzky covering problem is to cover the circle with random intervals. We consider the covering of the circle with random open sets. We find a necessary and sufficient condition for the circle to be covered almost surely when each open set is composed of a finite number of intervals which are separated by a positive distance.