From 0ec2e63a7310d2784b72785346f3cc1a075ff935 Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Mon, 6 Mar 2023 19:44:33 +0100 Subject: New appeal. --- appeal.tex | 67 +++++++++++++------------------------------------------------- 1 file changed, 14 insertions(+), 53 deletions(-) diff --git a/appeal.tex b/appeal.tex index ae37548..864cbea 100644 --- a/appeal.tex +++ b/appeal.tex @@ -32,68 +32,29 @@ \begin{document} \begin{letter}{ - Agnese I.~Curatolo, Ph.D.\\ Physical Review Letters\\ 1 Research Road\\ Ridge, NY 11961 } -\opening{Dear Dr.~Curatolo,} +\opening{To the editors of PRL,} -We wish to appeal the decision concerning our manuscript, -and expect to take this to the highest level possible in Physical Review. -Our motivation is scientific, but also one of principle: {\em there should -not be an implicit bias in favor of partial or purely numerical solutions, -and against the actual closure of -a long standing problem, on the basis that the latter is harder to read.} +We wish to appeal the decision concerning our manuscript \textit{Unveiling the complexity of hierarchical energy landscapes} +which we submitted to PRL. -Neither of the referees criticize the content of the manuscript. They both -find the article somewhat technical, -but it should be born in mind that: -\begin{enumerate} - \item PRL has been publishing articles on precisely this problem in the - last 30 years.\footfullcite{Fyodorov_2004_Complexity, Bray_2007_Statistics, Fyodorov_2012_Critical, Wainrib_2013_Topological} - \item These works were often limited by the fact that general landscapes (for - which an annealed solution is not exact) were inaccessible. It is perhaps - true that the final solution of an open problem may often be more technical - than the previous ones. -\end{enumerate} +As we mentioned in the reply to the referees, this is a problem that has +been open for 42 years, +and several related contributions have been published since in PRL. -The other criticisms are: +Our solution for the first time gives the full picture of the structure +of valleys in a complex landscape, finally rendering the ``state counting'' +(Kac-Rice) approach -- used in several hundred papers -- +compatible with the Parisi solution of equilibrium. As a byproduct, the +structure of near-equilibrium saddles is for the first time transparent. -Referee A remarks that a full connection with dynamics -is not presented in our paper. This is true, and such a connection does not -exist at present. We sincerely hope to -find it, and if we succeed we firmly believe the resulting article will also be -worthy of PRL. - -Referee B states that -\begin{enumerate} - \item ``the topic has been studied extensively in the last thirty years and - more'' as a shortcoming, but fails to realize that the solution to the full - problem has been open, in spite of all these efforts. - \item The meaning of the related remark: ``the only novelty with respect to - previous work is that the results are obtained at zero temperature'' - completely escapes us. Firstly because temperature is not an issue here -- - it suffices to replace energy by TAP free-energy to introduce it, with - essentially no change. Again, the novelty of the article is that generic - models, most notably the Sherrington Kirkpatrick which motivated the first - (pioneering but failed) attempt 42 years ago, are now finally accessible. - \item ``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.'' - One could say that development of higher fidelity $q$-bits has failed to - deliver the factorization of large integers up to now, but this is hardly a - barrier to publishing substantial progress about their development. -\end{enumerate} - -Again, PRL has devoted a sustained attention to these problems. The referee -goes on to remark that what is truly important ``involves dynamics and -activated processes.'' But one of the reasons that they have not been fully -understood, as the referee claims correctly, is that these take place -between states whose geometrical arrangement were not known (except for the -pure $p$-spin case, or in general, equilibrium), and our work is, we believe, a -true breakthrough in this direction. +The reason we are keen to publish in PRL is clear: PRL gives an +``official'' sense of closure, +in a way no other journal does. We believe our article deserves it. \closing{Sincerely,} -- cgit v1.2.3-54-g00ecf