A unified stability property in spin glasses

Details A unified stability property in spin glasses A unified stability property in spin glasses

2011-06-20

arxiv.org/abs/1106.3954v3

Mathematics

Probability

Scientific paper

Gibbs' measures in the Sherrington-Kirkpatrick type models satisfy two
asymptotic stability properties, the Aizenman-Contucci stochastic stability and
the Ghirlanda-Guerra identities, which play a fundamental role in our current
understanding of these models. In this paper we show that one can combine these
two properties very naturally into one unified stability property.

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