Browsing by Subject a d-dimensional Euclidean space
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This paper is primarily concerned with the following random coverage problem. Given a specified compact region A in a d-dimensional Euclidean space, what is the probability that A is fully covered by a union of Euclidean balls of radius r centred on n points placed independently uniformly at random in A, in the large-n limit with r=r(n)
becoming small in an appropriate manner? |
