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Central Limit Theorems for the Energy Density in the High Temperature phase of the Sherrington Kirkpatrick Model
Probability| Speaker: | Nick Crawford, UC Berkeley |
| Location: | 1147 MSB |
| Start time: | Wed, May 7 2008, 4:10PM |
Description
This talk regards quenched central limit theorems for macroscopic
observables in the High temperature phase of the Sherrinton-Kirkpatrick
Model of Spin Glasses.
Comets and Neveau, and independently Chatterjee, showed
that if there is no external field, then the energy density
satisfies a quenched CLT in the limit as the volume tends to infinity.
The general case was left open and it was not clear how to proceed.
We show one method to resolve this problem, applying a combination of the
cavity method and Stein's method, a powerful quantitative tool for
proving CLT's.
Based on joint work w/ Sourav Chatterjee.