Small editsHEADmaster

1 files changed, 23 insertions, 2 deletions

diff --git a/zif.tex b/zif.tex
index 50f083f..38aa2c4 100644
--- a/zif.tex
+++ b/zif.tex
@@ -158,9 +158,11 @@
         \#_\text{points}
         &=\int_\Omega d\boldsymbol x\,\delta\big(\nabla H(\boldsymbol x)\big)\,\big|\det\operatorname{Hess}H(\boldsymbol x)\big|
       \end{align*}
-      Note absolute value of the determinant: want to account for curvature but not add $-1$
 
-      \bigskip
+      Typically exponential in dimension $N$, with \emph{complexity} defined by
+      \[
+        \Sigma=\frac1N\log\#_\text{points}
+      \]
 
       Can specify properties of points by inserting $\delta$-functions:
       \begin{align*}
@@ -1194,6 +1196,25 @@
 \end{frame}
 
 \begin{frame}
+  \frametitle{Other landscape applications without RMT}
+
+  \begin{columns}
+    \begin{column}{0.5\textwidth}
+      \includegraphics[width=\textwidth]{figs/folena_new.pdf}
+
+      \tiny\fullcite{Kent-Dobias_2025_On}
+    \end{column}
+    \begin{column}{0.5\textwidth}
+      \vspace{2.5em}
+
+      \includegraphics[width=\textwidth]{figs/walk.pdf}
+
+      \tiny\fullcite{Kent-Dobias_2025_Very}
+    \end{column}
+  \end{columns}
+\end{frame}
+
+\begin{frame}
   \frametitle{Understanding the flat parts of random landscapes}
   \begin{columns}
     \begin{column}{0.33\textwidth}