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Diffstat (limited to 'when_annealed.tex')
| -rw-r--r-- | when_annealed.tex | 30 |
1 files changed, 12 insertions, 18 deletions
diff --git a/when_annealed.tex b/when_annealed.tex index c24f2c4..0bbaf51 100644 --- a/when_annealed.tex +++ b/when_annealed.tex @@ -1,4 +1,4 @@ -\documentclass[fleqn,a4paper]{article} +\documentclass{epl2/epl2} \usepackage[utf8]{inputenc} % why not type "Bézout" with unicode? \usepackage[T1]{fontenc} % vector fonts plz @@ -13,26 +13,16 @@ filecolor=MidnightBlue, linkcolor=MidnightBlue ]{hyperref} % ref and cite links with pretty colors -\usepackage[ - style=phys, - eprint=true, - maxnames = 100 -]{biblatex} -\usepackage{anyfontsize,authblk} - -\addbibresource{when_annealed.bib} - -\begin{document} +\usepackage{anyfontsize} \title{ When is the average number of saddle points typical? } \author{Jaron Kent-Dobias} -\affil{Istituto Nazionale di Fisica Nucleare, Sezione di Roma I} +\institute{Istituto Nazionale di Fisica Nucleare, Sezione di Roma I} -\maketitle -\begin{abstract} +\abstract{ A common measure of a function's complexity is the count of its stationary points. For complicated functions, this count grows exponentially with the volume and dimension of their domain. In practice, the count is averaged over @@ -50,7 +40,11 @@ setting. We determine conditions for the emergence of nontrivial correlations between saddles, and discuss the implications for the geometry of those functions and what out-of-equilibrium settings might be affected. -\end{abstract} +} + +\begin{document} + +\maketitle Random high-dimensional energies, cost functions, and interaction networks are important across disciplines: the energy landscape of glasses, the likelihood @@ -548,12 +542,12 @@ the annealed approximation. Our result has direct implications for the geometry of these landscapes, and perhaps could be influential to certain out-of-equilibrium dynamics. - -\paragraph{Funding information} +\acknowledgements JK-D is supported by a \textsc{DynSysMath} Specific Initiative of the INFN. -\printbibliography +\bibliographystyle{epl2/eplbib} +\bibliography{when_annealed} \end{document} |