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20122022
most citedFrom intersection bodies to dual centroid bodies: a stochastic approach to isoperimetry

2 citations · 2 across the 5 of their papers we have counts for

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math.PR2019

Randomized Urysohn-type inequalities

Thomas Hack, Peter Pivovarov

As a natural analog of Urysohn's inequality in Euclidean space, Gao, Hug, and Schneider showed in 2003 that in spherical or hyperbolic space, the total measure of totally geodesic…

math.PR2012

A central limit theorem for projections of the cube

Grigoris Paouris, Peter Pivovarov, Joel Zinn

We prove a central limit theorem for the volume of projections of the N-cube onto a random subspace of dimension n, when n is fixed and N tends to infinity. Randomness in this case…