BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Floating Functions Li, Ben


We introduce floating bodies for convex, not necessarily bounded subsets of Rn. This allows us to define floating functions for convex and log concave functions and log concave measures. We establish the asymptotic behavior of the integral difference of a log concave function and its floating function. This gives rise to a new affine invariant which bears striking similarities to the Euclidean affine surface area. This is a joint work with Carsten Sch{\"u}tt and Elisabeth Werner.

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