Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1152078 | Statistics & Probability Letters | 2013 | 7 Pages |
Abstract
We study the Hopfield model where the ratio α of patterns to sites grows large. We prove that the free energy with inverse temperature β and external field B behaves like βα+γ, where γ=P(2β,B) is the limiting free energy of the Sherrington-Kirkpatrick model with inverse temperature 2β and external field B.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
James Y. Zhao,