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author | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2020-12-30 15:46:39 +0100 |
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committer | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2020-12-30 15:46:39 +0100 |
commit | c88a57539305f45134d8db47a77a010f628adb44 (patch) | |
tree | f26cbf53bec6631c59531896db39e297053317bc /cover.tex | |
parent | e968ec0390e7a548230af4d8c5e71360dea9e154 (diff) | |
parent | d13787cf9f35ab04eaf961f55cfbb8f1c75e423f (diff) | |
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Merge branch 'master' into apsaps.v2
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diff --git a/cover.tex b/cover.tex new file mode 100644 index 0000000..4ebc19b --- /dev/null +++ b/cover.tex @@ -0,0 +1,72 @@ +\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} + +\addbibresource{bezout.bib} + +\signature{ + \vspace{-6\medskipamount} + \smallskip + Jaron Kent-Dobias \& Jorge Kurchan +} + +\address{ + Laboratoire de Physique\\ + Ecole Normale Sup\'erieure\\ + 24 rue Lhomond\\ + 75005 Paris +} + +\begin{document} +\begin{letter}{ + Editorial Office\\ + Physical Review Letters\\ + 1 Research Road\\ + Ridge, NY 11961 +} + +\opening{To the editors of Physical Review,} + +The subject of `complex landscapes,' which started in the spin-glass +literature, is concerned with functions (landscapes) of many variables having +a multiplicity of minima. Apart from its obvious relevance to glassy systems, +it has found applications in many domains: computer science, ecology, +economics, and biology, to name a few. \footfullcite{Mezard_2009_Information} + +Recently, interest has developed in landscapes for which the variables are +complex. There are several reasons for this: in computational physics the +`sign problem' is a major obstacle, and a strategy has emerged to attack it by +deforming the sampling space into complex variables. This is a most natural +and promising path, and any progress made will have game-changing impact in +solid state physics and lattice QCD. \footfullcite{Cristoforetti_2012_New, +Scorzato_2016_The} At a more basic level, following the seminal work of +E.~Witten, \footfullcite{Witten_2010_A, Witten_2011_Analytic} there has been a +flurry of activity concerning the very definition of quantum mechanics, which +also requires that one move into the complex plane. + +In these cases, just as in the real case, one needs to understand the structure +of the `landscape,' like the location of saddle points, how they are connected, +and typical questions of `complexity.' However, to the best of our knowledge, +there are no studies extending the methods of the theory of complexity to +complex variables. We believe our paper will open a field that may find +numerous applications and will widen our theoretical view of complexity in +general. Our manuscript has been amended to emphasize these important connections with other areas of physics. + +\closing{Sincerely,} + +\vspace{1em} + +\end{letter} + +\end{document} |