Randomized coverings of a convex body with its homothetic copies, and illumination
classification
🧮 math.MG
keywords
illuminationbodyconvexadditionboundscopiescoveringsdistributed
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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. Nasz\'odi for a generalized version of the illumination parameter.
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