Central Limit Theorems for the Energy Density in the Sherrington-Kirkpatrick Model

Details Central Limit Theorems for the Energy Density in the Sherrington-Kirkpatrick Model Central Limit Theorems for the Energy Density in the Sherrington-Kirkpatrick Model

2008-10-18

arxiv.org/abs/0810.3279v2

Mathematics

Probability

30 pages Mild Update:typos, referee comments regarding terminology

Scientific paper

In this paper we consider central limit theorems for various macroscopic observables in the high temperature region of the Sherrington-Kirkpatrick spin glass model. With a particular focus on obtaining a quenched central limit theorem for the energy density of the system with non-zero external field, we show how to combine the mean field cavity method with Stein's method in the quenched regime. The result for the energy density extends the corresponding result of Comets-Neveu.

Affiliated with

Also associated with

No associations

Rating

Central Limit Theorems for the Energy Density in 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 Central Limit Theorems for the Energy Density in the Sherrington-Kirkpatrick Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Central Limit Theorems for the Energy Density in the Sherrington-Kirkpatrick Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-296069