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diff --git a/2-point.tex b/2-point.tex index d5ef022..5f9bda8 100644 --- a/2-point.tex +++ b/2-point.tex @@ -429,10 +429,10 @@ lowest-energy states. This is seen in Fig.~\ref{fig:franz-parisi}. The set of marginal states is of special interest. First, it has more structure than in the pure models, with different types of marginal states being found at -different energies. Second, these states attract the dynamics (as evidenced by power-law relaxations), and so are the -inevitable end-point of equilibrium and algorithmic processes \cite{Folena_2023_On}. We find, -surprisingly, that the properties of marginal states pivot around the threshold -energy, the energy at which most stationary points are marginal. +different energies. Second, marginal states are known to attract physical and +algorithmic dynamics \cite{Folena_2023_On}. We find, surprisingly, that the +properties of marginal states pivot around the threshold energy, the energy at +which most stationary points are marginal. \begin{itemize} \item \textbf{Energies below the threshold.} Marginal states have a |