2 citations · 4 across the 22 of their papers we have counts for
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An extension of Minkowski's theorem and its applications to questions about projections for measures
Galyna V. Livshyts
Minkowski's Theorem asserts that every centered measure on the sphere which is not concentrated on a great subsphere is the surface area measure of some convex body, and, moreover,…
Maximal surface area of a convex set in with respect to exponential rotation invariant measures
Galyna Livshyts
Let be a positive number. Consider probability measure with density . We show that the maximal surface area of a convex body in $\math…
Maximal surface area of polytopes with respect to log-concave rotation invariant measures
Galyna V. Livshyts
It was shown in \cite{GL} that the maximal surface area of a convex set in with respect to a rotation invariant log-concave probability measure is of order $\fra…
Maximal Surface Area of a convex set in with respect to log concave rotation invariant measures
Galyna Livshyts
It was shown by K. Ball and F. Nazarov, that the maximal surface area of a convex set in with respect to the Standard Gaussian measure is of order .…