From 4045e729291d6a589fd48c79a154be9f81a1f2ad Mon Sep 17 00:00:00 2001
From: Jaron Kent-Dobias <jaron@kent-dobias.com>
Date: Mon, 23 Jan 2023 12:00:35 +0100
Subject: Fancier formatting.

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 response.tex | 93 ++++++++++++++++++++++++++++++++----------------------------
 1 file changed, 49 insertions(+), 44 deletions(-)

(limited to 'response.tex')

diff --git a/response.tex b/response.tex
index 1709e15..4917d67 100644
--- a/response.tex
+++ b/response.tex
@@ -87,33 +87,35 @@ because  it demands of the readers a slightly longer attention span.
 
 Below, we respond to the referees' comments.
 
-{\it Report of Referee A -- LY17256/Kent-Dobias
- The authors consider spin glass models with mixed p-spin interactions
- on the N-Sphere and calculate the number of stationary points, the
- logarithm of which yields the complexity. The disorder average of this
- logarithm is computed with the replica trick, and for different model
- variants different replica symmetry breaking (RSB) solutions are
- obtained. A new feature of the solutions, in contrast to previous
- replica symmetric calculations, is that RSB must occur in parts of the
- energy-stability phase diagram.
-
- The paper is clearly written although the content is rather technical
- and probably only accessible to experts in mean field spin glass
- models and the different RSB schemes developed in this field. In
- connection with the well-studied p=3 spin glass model it is briefly
- mentioned that the complexity and its transitions as a function of
- energy and/or stability is relevant for the equilibrium and the
- dynamical behavior of this model – but such a connection has not been
- made here.
-
- Therefore, I feel that the results presented here are only interesting
- for group of experts and I do not assess the finding that the
- complexity of mixed p-spin glass models shows RSB as a major
- breakthrough in the field. Therefore, the manuscript is not suitable
- for publication in Phys. Rev. Lett., and the publication of the
- accompanying longer paper, submitted to PRE, is sufficient to
- disseminate the results summarized in this manuscript.}
-
+Report of Referee A -- LY17256/Kent-Dobias
+\begin{quote}
+  \it
+     The authors consider spin glass models with mixed p-spin interactions
+     on the N-Sphere and calculate the number of stationary points, the
+     logarithm of which yields the complexity. The disorder average of this
+     logarithm is computed with the replica trick, and for different model
+     variants different replica symmetry breaking (RSB) solutions are
+     obtained. A new feature of the solutions, in contrast to previous
+     replica symmetric calculations, is that RSB must occur in parts of the
+     energy-stability phase diagram.
+
+     \hspace{2em}The paper is clearly written although the content is rather technical
+     and probably only accessible to experts in mean field spin glass
+     models and the different RSB schemes developed in this field. In
+     connection with the well-studied p=3 spin glass model it is briefly
+     mentioned that the complexity and its transitions as a function of
+     energy and/or stability is relevant for the equilibrium and the
+     dynamical behavior of this model – but such a connection has not been
+     made here.
+
+     \hspace{2em}Therefore, I feel that the results presented here are only interesting
+     for group of experts and I do not assess the finding that the
+     complexity of mixed p-spin glass models shows RSB as a major
+     breakthrough in the field. Therefore, the manuscript is not suitable
+     for publication in Phys. Rev. Lett., and the publication of the
+     accompanying longer paper, submitted to PRE, is sufficient to
+     disseminate the results summarized in this manuscript.
+\end{quote}
 
 
 Referee A correctly points out that one new feature of the solutions
@@ -145,19 +147,20 @@ with dynamics (for example in Sherrington Kirkpatrick) if it is unknown}.
 %compelling deepening of problems, are worthy of a broad audience.
 
 Report of Referee B -- LY17256/Kent-Dobias
-{\it  The paper presents a computation of the complexity in spherical
- spin-glass models. Neither the techniques nor the results are
- sufficiently new and relevant to justify publication on PRL. This is
- not surprising given that the topic has been studied extensively in
- the last thirty years and more, the only novelty with respect to
- previous work is that the results are obtained at zero temperature but
- this is definitively not enough. Essential open problems in the field
- involves dynamics and activated processes and some results have
- appeared recently, instead the analysis of the static landscape, to
- which the present paper is a variation, failed to deliver answers to
- these questions up to now.
-
- }
+\begin{quote}
+  \textit{The paper presents a computation of the complexity in spherical
+     spin-glass models. Neither the techniques nor the results are
+     sufficiently new and relevant to justify publication on PRL. This is
+     not surprising given that the topic has been studied extensively in
+     the last thirty years and more, the only novelty with respect to
+     previous work is that the results are obtained at zero temperature but
+     this is definitively not enough. Essential open problems in the field
+     involves dynamics and activated processes and some results have
+     appeared recently, instead the analysis of the static landscape, to
+     which the present paper is a variation, failed to deliver answers to
+     these questions up to now.
+   }
+\end{quote}
 
 Concerning the statement of Referee B that "the only novelty
 with respect to previous work is that the results are obtained at zero
@@ -188,10 +191,12 @@ the field," and agree that our work does not deliver answers. However,
 delivering answers for all essential open problems is not the acceptance
 criterion of PRL. These are
 
-  - Open a new research area, or a new avenue within an established area.
-  - Solve, or make essential steps towards solving, a critical problem.
-  - Introduce techniques or methods with significant impact.
-  - Be of unusual intrinsic interest to PRL's broad audience.
+\begin{itemize}
+  \item Open a new research area, or a new avenue within an established area.
+  \item Solve, or make essential steps towards solving, a critical problem.
+  \item Introduce techniques or methods with significant impact.
+  \item Be of unusual intrinsic interest to PRL's broad audience.
+\end{itemize}
 
 We believe our manuscript makes essential steps toward solving the
 critical problem of connecting analysis of the static landscape to
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