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| -rw-r--r-- | frsb_kac-rice.tex | 8 |
1 files changed, 3 insertions, 5 deletions
diff --git a/frsb_kac-rice.tex b/frsb_kac-rice.tex index 3f5854c..87445c7 100644 --- a/frsb_kac-rice.tex +++ b/frsb_kac-rice.tex @@ -258,12 +258,10 @@ Taking the saddle with respect to $\mu$ and $F_d$ yields and gives \begin{align*} \Sigma - =-\epsilon\hat\epsilon+\lim_{n\to0}\frac1n\frac12\left( - n - \hat\epsilon R_df'(1) - +\hat\epsilon^2\sum_{ab} + =\epsilon\hat\epsilon+\hat\epsilon R_d f'(1)+\frac12D_df'(1)+\lim_{n\to0}\frac1n\frac12\left( + \hat\epsilon^2\sum_{ab} f(Q_{ab}) - +\log\det(\hat\epsilon R_d^{-1} Q+I) + +\log\det(-D_dR_d^{-2} Q+I) \right) \end{align*} Finally, setting $0=\Sigma$ gives |