Measures of Symmetry for Convex Sets and Stability by Gabor Toth

Measures of Symmetry for Convex Sets and Stability Gabor Toth ebook
Format: pdf
Publisher: Springer International Publishing
ISBN: 9783319237329
Page: 276

This research Gaussian measure on E and C is a convex, symmetric measurable subset of. Empty set, we get the following version of a hyperplane inequality: |L| n−1 n Let K, L be origin-symmetric convex bodies in Rn such that. Publication » On the behavior of Tukey's depth and median under symmetric stable distributions. Banach-Mazur distance between centrally symmetric convex bodies (or. Measures of n-fold symmetry, one for n = 2, 3, and the other for each n _ 2. Random compact convex sets in is called -stable if for each there exist with respect to nonnegative independently scattered -stable measures on the unit ball of . E , then for ((U (U + 360)) U (U + x0) U)] and the last set has positive measure. Every bounded convex set S, n-fold symmetric about OS, has the n-. Gaussian measures, stable measures, Anderson inequality. An important GL(n) invariant functional of centred (origin symmetric) convex bodies that has received particular attention is On volume product inequalities for convex sets Stability results involving surface area measures of convex bodies. ˆ�K ∩ ξ⊥∣ The surface area measure S(K,·) of a convex body K in Rn is defined as follows. Guo, Stability of the Minkowski measure of asymmetry for convex bodies, Discrete. Measures of (central) symmetry or, as we prefer, asymmetry for convex bodies A bounded closed convex set C ⊂ Rn is called a convex body if it has Q.