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authorJaron Kent-Dobias <jaron@kent-dobias.com>2023-08-23 15:55:52 +0200
committerJaron Kent-Dobias <jaron@kent-dobias.com>2023-08-23 15:55:52 +0200
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parent1ed47199fd34bbeed29f2d0d0d5c420bb4e67c0b (diff)
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Fixed some references at the request of a reviewer.
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@@ -68,7 +68,7 @@ without much reflection \cite{Wainrib_2013_Topological, Kent-Dobias_2021_Complex
Gershenzon_2023_On-Site}. In a few cases researchers have instead made the
better-controlled quenched average, which averages the logarithm of the number
of stationary points, and find deviations from the annealed approximation with
-important implications for behavior \cite{Muller_2006_Marginal,
+important implications for behavior \cite{Cavagna_1999_Quenched, Crisanti_2006_Spherical, Muller_2006_Marginal,
Ros_2019_Complex, Kent-Dobias_2023_How, Ros_2023_Quenched, Ros_2023_Generalized}. Generically,
the annealed approximation to the complexity is wrong when a nonvanishing
fraction of pairs of stationary points have nontrivial correlations in their
@@ -119,7 +119,7 @@ Crisanti_2011_Statistical, BenArous_2019_Geometry, Subag_2020_Following, ElAlaou
There are several well-established results on the equilibrium of this model.
First, if the function $\chi(q)=f''(q)^{-1/2}$ is convex then it is not possible for the
equilibrium solution to have nontrivial correlations between states at any
-temperature \cite{Crisanti_1992_The}.\footnote{
+temperature \cite{Crisanti_2006_Spherical, Crisanti_2007_Amorphous-amorphous}.\footnote{
More specifically, convex $\chi$ cannot have an equilibrium order with more than
{\oldstylenums1\textsc{rsb}} order among the configurations. In equilibrium,
{\oldstylenums1\textsc{rsb}} corresponds to trivial correlations between