A deletion-invariance property for random measures satisfying the Ghirlanda-Guerra identities

Dmitry Panchenko

Published 2011-05-30Version 1

We show that if a discrete random measure on the unit ball of a separable Hilbert space satisfies the Ghirlanda-Guerra identities then by randomly deleting half of the points and renormalizing the weights of the remaining points we obtain the same random measure in distribution up to rotations.