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authorJaron Kent-Dobias <jaron@kent-dobias.com>2023-11-21 17:38:59 +0100
committerJaron Kent-Dobias <jaron@kent-dobias.com>2023-11-21 17:38:59 +0100
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Made a sentence about marginal minima attracting dynamics more simple
for referee.
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@@ -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