\documentclass[12pt,oneside,openany]{book} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{amsmath,amssymb,amsthm,mathtools,mathrsfs} \DeclareFontFamily{U}{rsfs}{\skewchar\font127 } \DeclareFontShape{U}{rsfs}{m}{n}{<-6.5>rsfs5<6.5-7.5>rsfs7<7.5->rsfs10}{} \usepackage{booktabs,array} \usepackage[numbers,sort&compress]{natbib} \usepackage{imakeidx}% \usepackage{environ} \PassOptionsToPackage{hypertexnames=false}{hyperref} \input{shared/trilogy-style}% \input{shortheads} \usepackage{xurl}% \usepackage[nameinlink,capitalize,noabbrev]{cleveref} \usepackage{aliascnt} \hypersetup{pdftitle={Slow Equilibration and Persistent Stationary Correlations in Spherical Spin Glasses},pdfauthor={P. M. 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We have carefully supervised its preparation to ensure that the proofs are readable and that previous literature is appropriately cited. We are releasing this manuscript on Hexagon to disseminate the result as quickly as possible because it may be of interest to the mathematical community. We welcome suggestions concerning mathematical corrections, omitted citations, and attribution of ideas. P.\ L.\ was partially supported by NSF grant DMS-2450004. \end{authorsnote} \begin{abstractpage} \input{abstract} \end{abstractpage} \tableofcontents \mainmatter \input{sections/01-intro} \input{sections/02-overview} \part{Preliminaries}\label{part:prelim} \input{sections/03-prelim} \part{The condensed phase}\label{part:condensed} \input{sections/04-reduction} \input{sections/05-thermal} \input{sections/06-directing} \input{sections/07-kacrice} \input{sections/08-entrance} \input{sections/09-purecover} \input{sections/10-mixone} \input{sections/10b-mixpair} \input{sections/11-mixbands} \input{sections/12-condproof} \part{Below the static threshold}\label{part:prestatic} \input{sections/13-pressure} \input{sections/14-spectral} \input{sections/15-memory} \input{sections/16-plateau} \input{sections/17-infinite} \appendix \input{sections/A-certificate} \backmatter \setlength{\bibsep}{3pt plus 1pt minus 1pt} \bibliographystyle{plainnat} \bibliography{refs} \end{document}