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author | kurchan.jorge <kurchan.jorge@gmail.com> | 2022-06-24 09:27:25 +0000 |
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committer | node <node@git-bridge-prod-0> | 2022-06-24 12:39:06 +0000 |
commit | 13cb9a56b50ae3b594f2bf6efa852ced9b7dd791 (patch) | |
tree | 84d08995853dc838bf72154dbe5536fe03d35441 | |
parent | 7ec2a78f5fd4cd36e98b6625110ad3f862fb091a (diff) | |
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Update on Overleaf.
-rw-r--r-- | frsb_kac_new.tex | 3 |
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diff --git a/frsb_kac_new.tex b/frsb_kac_new.tex index cc8f0f0..90bf081 100644 --- a/frsb_kac_new.tex +++ b/frsb_kac_new.tex @@ -367,6 +367,9 @@ where $\hat\beta$, $Q$, $R$ and $D$ must be evaluated at extrema of this expression. With $Q$, $R$, and $D$ distinct replica matrices, this is potentially quite challenging. +{\bf Inserting the expression for $D$ in the action, and writing $R=R_d+\tilde R$ ($\tilde R$ is zero in the diagonal) , the linear term in $\tilde R$ is +$Tr \left[\tilde R (\hat \beta -R_d Q^{-1} f')\right]$ } + \section{Replica ansatz} We shall make the following ansatz for the saddle point: |