From 2c9a121b5f55fac28558649ebd693f57762b54c1 Mon Sep 17 00:00:00 2001
From: Jaron Kent-Dobias <jaron@kent-dobias.com>
Date: Wed, 24 Jul 2024 17:34:43 +0200
Subject: Removed subdirectory reference in manuscript.
---
marginal.tex | 22 +++++++++++-----------
1 file changed, 11 insertions(+), 11 deletions(-)
diff --git a/marginal.tex b/marginal.tex
index 508b674..de44583 100644
--- a/marginal.tex
+++ b/marginal.tex
@@ -368,13 +368,13 @@ pseudogap.
\begin{figure}
\hspace{1.3em}
- \includegraphics{figs/spectrum_less.pdf}
+ \includegraphics{spectrum_less.pdf}
\hspace{-2em}
- \includegraphics{figs/spectrum_eq.pdf}
+ \includegraphics{spectrum_eq.pdf}
\hspace{-2em}
- \includegraphics{figs/spectrum_more.pdf}
+ \includegraphics{spectrum_more.pdf}
\\
- \includegraphics{figs/large_deviation.pdf}
+ \includegraphics{large_deviation.pdf}
\caption{
The large deviation function $G_0(\mu)$ defined in
\eqref{eq:large.dev} as a function of the shift $\mu$ to the
@@ -1250,17 +1250,17 @@ Lagrange multiplier is larger than 2, then we have a marginal minimum made up of
subspace and a stable minimum on the other.
\begin{figure}
- \includegraphics{figs/msg_marg_legend.pdf}
+ \includegraphics{msg_marg_legend.pdf}
\vspace{1em}
- \includegraphics{figs/msg_marg_params.pdf}
+ \includegraphics{msg_marg_params.pdf}
\hfill
- \includegraphics{figs/msg_marg_spectra.pdf}
+ \includegraphics{msg_marg_spectra.pdf}
\vspace{1em}
- \includegraphics{figs/msg_marg_complexity.pdf}
+ \includegraphics{msg_marg_complexity.pdf}
\caption{
Properties of marginal minima in the multispherical model.
@@ -1560,7 +1560,7 @@ Hessian cannot be done independently from the complexity, and the method
introduced in this paper becomes necessary.
\begin{figure}
- \includegraphics{figs/most_squares_complexity.pdf}
+ \includegraphics{most_squares_complexity.pdf}
\caption{
Dominant and marginal complexity in the nonlinear sum of squares problem
for $\alpha=\frac32$ and $f(q)=q^2+q^3$. The ground state energy
@@ -1579,7 +1579,7 @@ lowest energy significantly higher than the ground state and the highest energy
significantly higher than the threshold.
\begin{figure}
- \includegraphics{figs/most_squares_stability.pdf}
+ \includegraphics{most_squares_stability.pdf}
\caption{
The stability, or shift of the trace, for dominant and marginal optima in
the nonlinear sum of squares problem for $\alpha=\frac32$ and
@@ -1597,7 +1597,7 @@ which is the stability associated with the dominant complexity and coincides
with the marginal stability only at the threshold energy.
\begin{figure}
- \includegraphics{figs/most_squares_complex.pdf}
+ \includegraphics{most_squares_complex.pdf}
\caption{
Real and imaginary parts of the complexity $\Sigma_0(E,\mu)$ with fixed
minimum eigenvalue $\lambda^*=0$ as a function of $\mu$ in the nonlinear
--
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