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| author | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2023-11-21 17:40:02 +0100 |
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| committer | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2023-11-21 17:40:02 +0100 |
| commit | ac9061ea00a0722d9b2e55350d08ce264d3e7bfd (patch) | |
| tree | 273889eed11c3430d21cda71a0a37e9a49609d88 | |
| parent | dfbb0158fe8efff862e2255b6eb7c23b2832a3a1 (diff) | |
| download | SciPostPhys_16_001-ac9061ea00a0722d9b2e55350d08ce264d3e7bfd.tar.gz SciPostPhys_16_001-ac9061ea00a0722d9b2e55350d08ce264d3e7bfd.tar.bz2 SciPostPhys_16_001-ac9061ea00a0722d9b2e55350d08ce264d3e7bfd.zip | |
Added reference to my other paper.
| -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) |