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| author | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2023-03-06 19:44:33 +0100 | 
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| committer | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2023-03-06 19:44:33 +0100 | 
| commit | 0ec2e63a7310d2784b72785346f3cc1a075ff935 (patch) | |
| tree | c99f431b3b466f246b4f0fa377ba71455e8eac57 | |
| parent | c9004df2af8c784ba1f83b9a0c36f2a9792ed50c (diff) | |
| download | PRE_107_064111-0ec2e63a7310d2784b72785346f3cc1a075ff935.tar.gz PRE_107_064111-0ec2e63a7310d2784b72785346f3cc1a075ff935.tar.bz2 PRE_107_064111-0ec2e63a7310d2784b72785346f3cc1a075ff935.zip | |
New appeal.
| -rw-r--r-- | appeal.tex | 67 | 
1 files changed, 14 insertions, 53 deletions
| @@ -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,} | 
