Volume thresholds for Gaussian and spherical random polytopes and their duals
نویسندگان
چکیده
منابع مشابه
Volume Thresholds for Gaussian and Spherical Random Polytopes and Their Duals
Let g be a Gaussian random vector in R. Let N = N(n) be a positive integer and let KN be the convex hull of N independent copies of g. Fix R > 0 and consider the ratio of volumes VN := E vol(KN ∩RB 2 )/ vol(RB 2 ). For a large range of R = R(n), we establish a sharp threshold for N , above which VN → 1 as n → ∞, and below which VN → 0 as n → ∞. We also consider the case when KN is generated by ...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 2007
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm183-1-2