The Hopfield Model with Superlinearly Many Patterns
  We study the Hopfield model where the ratio $\alpha$ of patterns to sites grows large. We prove that the free energy with inverse temperature $\beta$ and external field $B$ behaves like $\beta\sqrt\alpha+\gamma$, where $\gamma$ is the limiting free energy of the Sherrington-Kirkpatrick model with inverse temperature $\sqrt2\beta$ and external field $B$. 
James Y. Zhao
math.PR