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

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

2011-05-30

arxiv.org/abs/1105.6038v1

C. R. Acad. Sci. Paris, Ser. I 349 (2011) 579-581

Mathematics

Probability

Scientific paper

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.

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