- 01-443 Masha Shcherbina, Brunello Tirozzi
- Rigorous Solution to the Gardner Problem
(609K, Postscript)
Dec 3, 01
-
Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers
-
Abstract. We prove rigorrously the well known result of Gardner about the
typical fractional volume of interactions between N spins which solve the
problem of storing a given set of p random patterns. The Gardner formula
for this volume in the limit N,p \to \infty, p/N \to \alpha
is proven for all values of \alpha. Besides, we prove a useful criterion
of the factorisation of all the correlation functions for a class
of spin glass models.
- Files:
01-443.src(
01-443.keywords ,
gard1.ps )