Lectures

Seminar information archive ~03/28Next seminarFuture seminars 03/29~


2011/12/09

10:40-11:30   Room #122 (Graduate School of Math. Sci. Bldg.)
Erwin Bolthausen (University of Zurich)
An iterative construction of solutions of the TAP equation (ENGLISH)
[ Abstract ]
The TAP equation (Thouless-Anderson-Palmer) describes the so-called pure states in the Sherrington-Kirkpatrick model. A mathematical rigorous derivation of the equation exists only in the high temperature regime. We propose an interative construction of solutions of the equations which is shown to converge up to the de Almayda-Thouless line. The iteration makes sense also beyond this line, but it fails to converge. However, some properties of the iteration can also been proved beyond the AT-line.