The Interaction Between Multi-Overlaps in the High Temperature Phase of the Sherrington-Kirkpatrick Spin Glass

Details The Interaction Between Multi-Overlaps in the High Temperature Phase of the Sherrington-Kirkpatrick Spin Glass The Interaction Between Multi-Overlaps in the High Temperature Phase of the Sherrington-Kirkpatrick Spin Glass

2007-11-26

arxiv.org/abs/0711.3873v3

Mathematics

Probability

30 pages, Added References

Scientific paper

10.1063/1.2966275

We explore the joint behavior of a finite number of multi-overlaps in the
high temperature phase of the SK model. Extending work by M. Talagrand, we show
that, when these objects are scaled to have non-trivial limiting distributions,
the joint behavior is described by a Gaussian process with an explicit
covariance structure.

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