  Recent studies point to the potential storage of a large number of patterns
in the celebrated Hopfield associative memory model, well beyond the limits
obtained previously. We investigate the properties of new fixed points to
discover that they exhibit instabilities for small perturbations and are
therefore of limited value as associative memories. Moreover, a large
deviations approach also shows that errors introduced to the original patterns
induce additional errors and increased corruption with respect to the stored
patterns.
