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| -rw-r--r-- | frsb_kac-rice.bib | 14 | ||||
| -rw-r--r-- | frsb_kac-rice.tex | 3 |
2 files changed, 15 insertions, 2 deletions
diff --git a/frsb_kac-rice.bib b/frsb_kac-rice.bib index b1922a0..48b4e3e 100644 --- a/frsb_kac-rice.bib +++ b/frsb_kac-rice.bib @@ -197,6 +197,20 @@ year={1992}, publisher={APS} } +@article{fyodorov2007replica, + title={Replica symmetry breaking condition exposed by random matrix calculation of landscape complexity}, + author={Fyodorov, Yan V and Williams, Ian}, + journal={Journal of Statistical Physics}, + volume={129}, + number={5}, + pages={1081--1116}, + year={2007}, + publisher={Springer} +} + + + + @article{mezard1992manifolds, title={Manifolds in random media: two extreme cases}, author={M{\'e}zard, Marc and Parisi, Giorgio}, diff --git a/frsb_kac-rice.tex b/frsb_kac-rice.tex index 8086c70..30d450e 100644 --- a/frsb_kac-rice.tex +++ b/frsb_kac-rice.tex @@ -323,8 +323,7 @@ the question of independence \cite{Bray_2007_Statistics} \times \overline{\prod_a^n |\det(\partial\partial H(s_a)-\mu I)|} \end{aligned} -\end{equation}{\bf The average breaks into a product of two independent averages, one for the gradient -and one for the determinant. The integration of all variables may be restricted to the domain such that the matrix $\partial\partial H(s_a)-\mu I$ has a specified number of negative eigenvalues Fyodorov? and } +\end{equation}{\bf The average over disorder breaks into a product of two independent averages, one for the gradient factor and one for the determinant. The integration of all variables, including the disorder in the last factor, may be restricted to the domain such that the matrix $\partial\partial H(s_a)-\mu I$ has a specified number of negative eigenvalues. Fyodorov? } \begin{equation} \begin{aligned} |