From 4f490985310b42828a0ad0b93fd3e8ced01934a0 Mon Sep 17 00:00:00 2001 From: "kurchan.jorge" Date: Sun, 5 Jun 2022 12:56:58 +0000 Subject: Update on Overleaf. --- frsb_kac-rice.bib | 14 ++++++++++++++ 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} -- cgit v1.2.3-70-g09d2