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| -rw-r--r-- | 2-point.bib | 14 | ||||
| -rw-r--r-- | 2-point.tex | 2 |
2 files changed, 16 insertions, 0 deletions
diff --git a/2-point.bib b/2-point.bib index 6fb83bd..60d64cc 100644 --- a/2-point.bib +++ b/2-point.bib @@ -403,3 +403,17 @@ Spherical Spin Glasses}, doi = {10.21468/scipostphys.15.3.109} } +@article{Kent-Dobias_2023_When, + author = {Kent-Dobias, Jaron}, + title = {When is the average number of saddle points typical?}, + journal = {Europhysics Letters}, + publisher = {IOP Publishing}, + year = {2023}, + month = {8}, + number = {6}, + volume = {143}, + pages = {61003}, + url = {https://doi.org/10.1209%2F0295-5075%2Facf521}, + doi = {10.1209/0295-5075/acf521} +} + diff --git a/2-point.tex b/2-point.tex index 5f9bda8..acbba87 100644 --- a/2-point.tex +++ b/2-point.tex @@ -213,6 +213,8 @@ are not aware of any result guaranteeing this for the complexity away from the ground state, but we check that our replica-symmetric solutions satisfy the saddle point equations at {\oldstylenums1}\textsc{rsb}. +\cite{Kent-Dobias_2023_When} + To enforce the spherical constraint at stationary points, we make use of a Lagrange multiplier $\omega$. This results in the extremal problem \begin{equation} H(\mathbf s)+\frac\omega2(\|\mathbf s\|^2-N) |