A central limit theorem for weighted averages of spins in the high temperature region of the Sherrington-Kirkpatrick model

Details A central limit theorem for weighted averages of spins in the high temperature region of the Sherrington-Kirkpatrick model A central limit theorem for weighted averages of spins in the high temperature region of the Sherrington-Kirkpatrick model

2004-05-18

arxiv.org/abs/math/0405358v1

2005 Elect. J. of Probab. 10

Mathematics

Probability

25 pages

Scientific paper

In this paper we prove that in the high temperature region of the
Sherrington-Kirkpatrick model for a typical realization of the disorder the
weighted average of spins $\sum_{i\leq N} t_i \sigma_i$ will be approximately
Gaussian provided that $\max_{i\leq N}|t_i|/\sum_{i\leq N} t_i^2$ is small.

Affiliated with

Also associated with

No associations

Rating

A central limit theorem for weighted averages of spins in the high temperature region of the Sherrington-Kirkpatrick model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A central limit theorem for weighted averages of spins in the high temperature region of the Sherrington-Kirkpatrick model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A central limit theorem for weighted averages of spins in the high temperature region of the Sherrington-Kirkpatrick model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-254881