diff options
| -rw-r--r-- | when_annealed.bib | 28 | ||||
| -rw-r--r-- | when_annealed.tex | 2 |
2 files changed, 29 insertions, 1 deletions
diff --git a/when_annealed.bib b/when_annealed.bib index 3d7f010..3c5da60 100644 --- a/when_annealed.bib +++ b/when_annealed.bib @@ -427,3 +427,31 @@ doi = {10.1103/physrevlett.130.237101} } +@unpublished{ElAlaoui_2020_Algorithmic, + author = {El Alaoui, Ahmed and Montanari, Andrea}, + title = {Algorithmic Thresholds in Mean Field Spin Glasses}, + year = {2020}, + month = {9}, + url = {http://arxiv.org/abs/2009.11481v1}, + archiveprefix = {arXiv}, + date = {2020-09-24T04:22:42Z}, + eprint = {2009.11481v1}, + eprintclass = {cond-mat.stat-mech}, + eprinttype = {arxiv}, + primaryclass = {cond-mat.stat-mech} +} + +@article{Subag_2020_Following, + author = {Subag, Eliran}, + title = {Following the Ground States of Full-{RSB} Spherical Spin Glasses}, + journal = {Communications on Pure and Applied Mathematics}, + publisher = {Wiley}, + year = {2020}, + month = {6}, + number = {5}, + volume = {74}, + pages = {1021--1044}, + url = {https://doi.org/10.1002%2Fcpa.21922}, + doi = {10.1002/cpa.21922} +} + diff --git a/when_annealed.tex b/when_annealed.tex index 24b6b59..fb03c3e 100644 --- a/when_annealed.tex +++ b/when_annealed.tex @@ -120,7 +120,7 @@ spherical models, which have been studied in the physics and statistics literature and host a zoo of complex orders and phase transitions \cite{Crisanti_2004_Spherical, Crisanti_2006_Spherical, Krakoviack_2007_Comment, Crisanti_2007_Amorphous-amorphous, -Crisanti_2011_Statistical}. +Crisanti_2011_Statistical, BenArous_2019_Geometry, Subag_2020_Following, ElAlaoui_2020_Algorithmic}. There are several well-established results on the equilibrium of this model. First, if the function $\chi(q)=f''(q)^{-1/2}$ is convex then it is not possible for the |