Mon, 18 Oct 2004
14:15
14:15
DH 3rd floor SR
About the Hopfield model of spin-glasses
Dr J Trashorras
(University Paris 9)
Abstract
The Hopfield model took his name and its popularity within the theory
of formal neural networks. It was introduced in 1982 to describe and
implement associative memories. In fact, the mathematical model was
already defined, and studied in a simple form by Pastur and Figotin in
an attempt to describe spin-glasses, which are magnetic materials with
singular behaviour at low temperature. This model indeed shows a very
complex structure if considered in a slightly different regime than
the one they studied. In the present talk we will focus on the
fluctuations of the free energy in the high-temperature phase. No
prior knowledge of Statistical mechanics is required to follow the
talk.