From df9032a8c09f0c95e8a41c9825bc801e4310430f Mon Sep 17 00:00:00 2001
From: Jaron Kent-Dobias <jaron@kent-dobias.com>
Date: Tue, 7 Jun 2022 18:23:01 +0200
Subject: Fixed mistake in spetrum.

---
 frsb_kac_new.tex | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

(limited to 'frsb_kac_new.tex')

diff --git a/frsb_kac_new.tex b/frsb_kac_new.tex
index 4932050..552ee9b 100644
--- a/frsb_kac_new.tex
+++ b/frsb_kac_new.tex
@@ -61,7 +61,7 @@ $\partial\partial H$ is a GOE matrix with variance
 \end{equation}
 and therefore its spectrum is given by the Wigner semicircle with radius $\sqrt{4f''(1)}$, or
 \begin{equation}
-  \rho(\lambda)=\frac1{\pi\sqrt{f''(1)}}\sqrt{\lambda^2-4f''(1)}
+  \rho(\lambda)=\frac1{\pi\sqrt{f''(1)}}\sqrt{4f''(1)-\lambda^2}
 \end{equation}
 and the spectrum of $\operatorname{Hess}H$ is this shifted by $\mu$, or $\rho(\lambda+\mu)$.
 
-- 
cgit v1.2.3-70-g09d2

