updates

chapters/chap2.tex

@@ -13,6 +13,8 @@ In this section, we will explore how the results from Hayden's concentration of
 
 \section{Observable diameters}
 
+Recall from previous sections, an arbitrary 1-Lipschitz function $f:S^n\to \mathbb{R}$ concentrates near a single value $a_0\in \mathbb{R}$ as strongly as the distance function does.
+
 \ifSubfilesClassLoaded{
   \printbibliography[title={References}]
 }