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| -rw-r--r-- | frsb_kac-rice_letter.tex | 14 | ||||
| -rw-r--r-- | response.txt | 9 |
2 files changed, 13 insertions, 10 deletions
diff --git a/frsb_kac-rice_letter.tex b/frsb_kac-rice_letter.tex index 27025e7..f41e8ca 100644 --- a/frsb_kac-rice_letter.tex +++ b/frsb_kac-rice_letter.tex @@ -26,12 +26,14 @@ \affiliation{Laboratoire de Physique de l'Ecole Normale Supérieure, Paris, France} \begin{abstract} - Complexity is a measure of the number of stationary points in complex - landscapes. We derive a general solution for the complexity of mean-field - complex landscapes. It incorporates Parisi's solution for the ground state, - as it should. Using this solution, we count the stationary points of two representative - models. Including - replica symmetry breaking uncovers s the full organization of saddles in terms of their energies and stabilities encountered in generic models. + {\color{red} Complex landscapes are defined as those having a proliferation of saddle points. + The question of their number and organization has been the object of long-standing attention, in particular centered around Gaussian mean-field potentials, + which includes glass and spin glass models. +The annealed approximation is by now well understood, but is exact for a restricted subset of these problems. Here we derive the exact quenched +solution for the general case, which incorporates Parisi's solution for the ground state, + as it should. More importantly, including + replica symmetry breaking uncovers the full organization of saddles in terms of their energies and stabilities, a structure that is lost in the annealed approximation. This structure should be a guide for the identification + of relevant activated processes in relaxational or driven dynamics.} %These examples demonstrate the consistency of the %solution and reveal that the signature of replica symmetry breaking at high %energy densities is found in high-index saddles, not minima. diff --git a/response.txt b/response.txt index 058a6f8..424aec8 100644 --- a/response.txt +++ b/response.txt @@ -40,10 +40,11 @@ \opening{Dear Dr.~Curatolo,} - -Because neither referee addressed (or criticized) the scientific content of our paper, -nor substantively addressed its presentation, we have only modified -the manuscripts in order to highlight the importance of having a full solution. +Enclosed please find a revised manuscript. +Neither referee addressed (or criticized) the scientific content of our paper, +nor substantively addressed its presentation. We have followed their comments +in the direction of highlighting the importance of having a full solution. In particular +we have emphasized that going to the full replica treatment We have thus added the paragraph: |