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

作者：Panchenko Dmitry^*

来源：Comptes Rendus Mathematique, 2011, 349(9-10): 579-581.

DOI：10.1016/j.crma.2011.04.001

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.

• 出版日期2011-5