Maximal surface area of polytopes with respect to log-concave rotation invariant measures
نویسندگان
چکیده
منابع مشابه
Maximal Surface Area of Polytopes with Respect to Log-concave Rotation Invariant Measures
It was shown in [21] that the maximal surface area of a convex set in R with respect to a rotation invariant logconcave probability measure γ is of order √ n 4 √ V ar|X| √ E|X| , where X is a random vector in R distributed with respect to γ. In the present paper we discuss surface area of convex polytopes PK with K facets. We find tight bounds on the maximal surface area of PK in terms of K. We...
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ژورنال
عنوان ژورنال: Advances in Applied Mathematics
سال: 2015
ISSN: 0196-8858
DOI: 10.1016/j.aam.2015.06.004