\shorthead{Total variation lower bounds from Gibbs concentration and hitting estimates}{Reduction to three estimates}
\shorthead{Exact rational bounds for the nonconvex example}{Exact rational bounds}
\shorthead{Determinant moments and the Kac--Rice formula}{Determinants and Kac--Rice}
\shorthead{Counting slow modes and the overlap-weighted Gibbs mean}{Slow modes and the Gibbs mean}
\shorthead{Proofs of the condensed-phase theorems}{Proofs of the condensed theorems}
\shorthead{Proof of the main theorem below the static threshold}{Proof below the static threshold}
\shorthead{Mixed models: one-point estimates and exclusion of high-energy points at positive overlap}{One-point estimates and exclusion}
\shorthead{Mixed models: pair estimates and counts in fixed energy windows}{Pair estimates and counts}
\shorthead{Pure models: critical-point counts and Gibbs concentration on bands}{Pure models: counts and concentration}
\shorthead{Cap hitting estimates under critical-point conditioning}{Cap hitting estimates}
\shorthead{Correlation bounds at every level below \texorpdfstring{$q_*$}{q*}}{Correlation bounds below \texorpdfstring{$q_*$}{q*}}
\shorthead{The mechanism and the origin of the errors}{The mechanism}
\shorthead{Harmonic coefficients and regularity of the field}{Harmonic coefficients and regularity}
\shorthead{Latitude concentration and moments of the density ratio}{Latitude concentration}
\shorthead{Separation from Gibbs concentration, counts, and hitting bounds}{Separation from concentration and counts}
\shorthead{Concentration on the bands of a fixed window from a coarse cover}{Concentration in a fixed window}
\shorthead{Value, radial derivative, and Hessian at radius \texorpdfstring{$\sqrt Q$}{sqrt(Q)}}{Value, radial derivative, and Hessian}
\shorthead{Continuation of the 1RSB solution and the derivative of the free energy}{Continuation of the 1RSB solution}
\shorthead{Gaussian concentration and determinant moments}{Determinant moments}
\shorthead{The semicircle law and bordered determinants}{Bordered determinants}
\shorthead{The Kac--Rice formula with field-dependent weights}{The Kac--Rice formula}
\shorthead{The conditional field and the density of critical values}{The density of critical values}
\shorthead{Empirical means of fixed replica groups}{Fixed replica groups}
\shorthead{A coarse cover from the directing measure}{A coarse cover}
\shorthead{The annealed scale and the partition function}{The annealed scale}
\shorthead{Conditional regularity and localization}{Regularity and localization}
\shorthead{Determinant prefactors and the quadratic component}{Determinant prefactors}
\shorthead{The Palm expectation of the band partition function}{The Palm expectation}
\shorthead{The lower tail of the band partition function}{The lower tail}
\shorthead{Gibbs concentration on bands in a fixed window}{Concentration in a fixed window}
\shorthead{Centering and expected counts in fixed energy windows}{Centering and expected counts}
\shorthead{Exclusion of high-energy points at positive overlap}{Exclusion at positive overlap}
\shorthead{A common time horizon for all fixed energy windows}{A common time horizon}
\shorthead{Proof of the main condensed-phase theorem}{Proof of the main theorem}
\shorthead{Proofs of the corollary and of the theorem on initial laws}{The corollary and initial laws}
\shorthead{Counting with nonnegative trial functions}{Counting with trial functions}
\shorthead{Many slow modes from one aligned observable}{Slow modes from one observable}
\shorthead{Correlation and spectral projection estimates}{Correlation and projection}
\shorthead{Reduction to the norm of the overlap-weighted Gibbs mean}{Reduction to the norm of $B_N$}
\shorthead{The planted law and the transverse decomposition}{The transverse decomposition}
\shorthead{The trial pressure and the equality at \texorpdfstring{$q_*$}{q*}}{The trial pressure}
\shorthead{Caps, core bands, and collars around reference points}{Caps, core bands, and collars}
\shorthead{The uniform initial law and Gibbs-typical starting points}{The two initial laws}
\shorthead{Ground states and the generalized TAP functional}{Ground states and the TAP functional}
\shorthead{Mixed models: Gibbs concentration on bands}{Mixed models: concentration}
\shorthead{Slow equilibration from Gibbs-typical points}{Gibbs-typical points}
\shorthead{Eigenvalues near the dynamical threshold}{Near the dynamical threshold}
\shorthead{The intensity and the bands below the window}{The bands below the window}