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@@ -43,10 +43,10 @@ hierarchical landscapes: A ‘full’ solution to mean-field complexity}, which
rejected without being sent to referees.
The problem of characterizing the geometry of complex energy and cost
-landscapes is long-standing. Until this work, no correct calculation had been
-made for the complexity of systems without a so-called replica symmetric
-solution, which represent an small minority of systems. We show explicitly how
-such calculations can be made for the vast majority of cases.
+landscapes is long-standing. Until this work, the correct calculation of the
+complexity has only been made for a small minority of systems, those with
+so-called replica symmetry. We show explicitly how such calculations can be
+made for the vast majority of cases.
Landscape complexity even for the simple models we consider is relevant to a
broad spectrum of physics disciplines. These models appear explicitly in modern