BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

An application of the probabilistic method to Tverberg's theorem. Soberón, Pablo


We show how the probabilistic method can be applied to obtain robust versions of this Tverberg's theorem. In particular, given positive integers $r, d, t$, we study the number of points needed in $\mathbb{R}^d$ to guarantee the existence of a partition of them into r parts such that, even after any t points are removed, the convex hulls of what is left in each part have non-empty intersection.

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