Randomized coverings of a convex body with its homothetic copies, and illumination
Randomized coverings of a convex body with its homothetic copies, and illumination
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DOI：
10.1090/proc/14126
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发表时间：
2016-06
期刊：
影响因子：
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通讯作者：
G. Livshyts;K. Tikhomirov
中科院分区：
文献类型：
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作者：
G. Livshyts;K. Tikhomirov
我们提出了一个用独立分布光源照亮凸体的概率模型。除了恢复C.A.罗杰斯的光照数上界外，我们还改进了J. Januszewski和M. Naszodi先前对光照参数广义版本的估计。
We present a probabilistic model of illuminating a convex body by independently distributed light sources. In addition to recovering C.A. Rogers' upper bounds for the illumination number, we improve previous estimates of J. Januszewski and M. Naszodi for a generalized version of the illumination parameter.