2 papers
math.MG2020
Stochastic forms of Brunn's principle
P. Pivovarov, J. Rebollo Bueno
A number of geometric inequalities for convex sets arising from Brunn's concavity principle have recently been shown to yield local stochastic formulations. Comparatively, there ha…
math.MG2019
A stochastic Prekopa-Leindler inequality for log-concave functions
Peter Pivovarov, Jesus Rebollo Bueno
The Brunn-Minkowski and Prékopa-Leindler inequalities admit a variety of proofs that are inspired by convexity. Nevertheless, the former holds for compact sets and the latter for i…