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\hypersetup{pdftitle={Dynamics of the spherical Sherrington--Kirkpatrick model},pdfauthor={P. M. Aronow and Patrick Lopatto}}
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\hypersetup{pdftitle={Dynamics of the spherical Sherrington--Kirkpatrick model, Part I: Foundations and tools}}
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\begin{document}
\frontmatter
\npptitlepage{Dynamics of the spherical\\ Sherrington--Kirkpatrick\\ model\par\vspace{18pt}{\Large Part I: Foundations and tools}}{P.\ M.\ Aronow\\ Patrick Lopatto}
\begin{authorsnote}
With the exception of this note and small edits to the abstract, the entire
document is machine-written. We have taken care to supervise this writing to
ensure that the proofs meet a minimum standard of readability and that
previous literature is appropriately cited. However, the resulting document
remains lacking in exposition and overall coherence. We are nonetheless
releasing this manuscript on Hexagon to disseminate the result as quickly as
possible, because we believe it may be of interest to the mathematics and
physics communities. We welcome suggestions concerning mathematical
corrections, omitted citations, and attribution of ideas.

For publication, the manuscript is divided into two volumes:
\emph{Part I: Foundations and tools} (Sections~1--12) and
\emph{Part II: Mixing profiles and critical dynamics} (Sections~13--21).
Section, theorem, equation, and citation numbers are shared across the
volumes, and each volume includes the complete bibliography.

P.L.\ was partially supported by NSF grant DMS-2450004.
\end{authorsnote}
\begin{abstractpage}
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\tableofcontents
\mainmatter


\input{sections/01-intro}
\input{sections/02-overview}

\part{Preliminaries}\label{part:prelim}
\input{sections/03-model}
\input{sections/04-spectral}

\part{Tools}\label{part:tools}
\input{sections/05-conditioning}
\input{sections/06-likelihood}
\input{sections/07-heat}
\input{sections/08-inequalities}
\input{sections/09-comparison}
\input{sections/10-process}
\input{sections/11-scores}
\input{sections/12-density}

\backmatter
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