Item Infomation


Title: 
Random Euclidean coverage from within
Authors: 
Mathew D., Penrose
Issue Date: 
2023
Publisher: 
Springer
Abstract: 
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?
Description: 
CC BY
URI: 
https://link.springer.com/article/10.1007/s00440-022-01182-5
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7436
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