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author | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2023-07-17 16:33:38 +0200 |
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committer | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2023-07-17 16:33:38 +0200 |
commit | 332e896201ad67800af08927a5a943b10f276718 (patch) | |
tree | adc698aaf92182663dea01b3e2ae83f9f1e6ee47 | |
parent | 8cc722a1a5f3abb4fbc3e7282b87dc44685d6293 (diff) | |
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Wrote cover letter.
-rw-r--r-- | cover.tex | 71 |
1 files changed, 71 insertions, 0 deletions
diff --git a/cover.tex b/cover.tex new file mode 100644 index 0000000..33cb431 --- /dev/null +++ b/cover.tex @@ -0,0 +1,71 @@ +\documentclass[a4paper]{letter} + +\usepackage[utf8]{inputenc} % why not type "Bézout" with unicode? +\usepackage[T1]{fontenc} % vector fonts plz +\usepackage{newtxtext,newtxmath} % Times for PR +\usepackage[ + colorlinks=true, + urlcolor=purple, + linkcolor=black, + citecolor=black, + filecolor=black, +]{hyperref} % ref and cite links with pretty colors +\usepackage{xcolor} +\usepackage[style=phys]{biblatex} + +\renewcommand{\thefootnote}{\fnsymbol{footnote}} + +\addbibresource{frsb_kac-rice.bib} + +\signature{ + \vspace{-6\medskipamount} + \smallskip + Jaron Kent-Dobias +} + +\address{ + Istituto Nazionale di Fisica Nucleare, Sezione di Roma I\\ + Piazzale Aldo Moro, 2\\ + Roma RM, Italia\\ + c/o Sapienza Università di Roma\\ + Dipartimento di Fisica, Edificio Guglielmo Marconi +} + +\begin{document} +\begin{letter}{ + European Physical Society\\ + 6, rue des Frères Lumière\\ + 68200 Mulhouse, France +} + +\opening{To the editors of EPL,} + +I submit my manuscript \emph{When is the average number of saddles typical?}\ +for your consideration. This work examines a long-held but implicit assumption +in the field of disordered landscapes and finds it is often violated in simple +examples. Specifically, conditions for the possibility of clustering structure +among equilibrium states cannot rule out clustering structure among saddle points. + +This work is original in its methods and results. Few works have been published +on quenched complexity in disordered landscapes, and fewer still that explicitly +calculate the complexity. Explicit calculation is challenging because the +variational formulas involved are difficult to evaluate without knowledge of an +existing solution. I develop a novel way to find such a solution, directly +applicable to a large class of models of general interest in the theory of +glasses and statistical inference. Moreover, the result---finding novel clustering +among saddles---has not been previously studied. + +The importance of the result will not likely be in its direct implications for dynamics in the spherical models, but instead in its larger +implications for when annealed averages can be considered correct. This work decisively shows +that heuristics for deciding which models will have simple structure and +which will be more complex must be treated with care. In the $3+s$ spherical +models examined within, the models and saddles exhibiting nontrivial +structure makes it unlikely that their presence can explain outstanding problems for asymptotic dynamics, but the same structure appearing in other models might be critical to such behavior. The important lesson of this work is that one must look for it in the first place. + +\closing{Sincerely,} + +\vspace{1em} + +\end{letter} + +\end{document} |