4 citations · 6 across the 11 of their papers we have counts for
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math.MG2015
Random ball-polyhedra and inequalities for intrinsic volumes
Grigoris Paouris, Peter Pivovarov
We prove a randomized version of the generalized Urysohn inequality relating mean-width to the other intrinsic volumes. To do this, we introduce a stochastic approximation procedur…
math.PR2015
On sharp bounds for marginal densities of product measures
Galyna Livshyts, Grigoris Paouris, Peter Pivovarov
We discuss optimal constants in a recent result of Rudelson and Vershynin on marginal densities. We show that if is a probability density on of the form $f(x)=\prod_{i=1…
math.PR2015
Bounding marginal densities via affine isoperimetry
Susanna Dann, Grigoris Paouris, Peter Pivovarov
Let be a probability measure on with a bounded density . We prove that the marginals of on most subspaces are well-bounded. For product measures, studied…