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Diffstat (limited to 'frsb_kac_new.tex')
| -rw-r--r-- | frsb_kac_new.tex | 2 |
1 files changed, 1 insertions, 1 deletions
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 $\rho(\lambda+\mu)$. |