Merge branch 'master' of git:research/replicated_kac-rice/paper_2

1 files changed, 140 insertions, 0 deletions

diff --git a/when_annealed.bib b/when_annealed.bib
index d13ddf8..42c2e31 100644
--- a/when_annealed.bib
+++ b/when_annealed.bib
@@ -1,3 +1,17 @@
+@article{Altieri_2021_Properties,
+ author = {Altieri, Ada and Roy, Felix and Cammarota, Chiara and Biroli, Giulio},
+ title = {Properties of Equilibria and Glassy Phases of the Random {Lotka}-{Volterra} Model with Demographic Noise},
+ journal = {Physical Review Letters},
+ publisher = {American Physical Society (APS)},
+ year = {2021},
+ month = {6},
+ number = {25},
+ volume = {126},
+ pages = {258301},
+ url = {https://doi.org/10.1103%2Fphysrevlett.126.258301},
+ doi = {10.1103/physrevlett.126.258301}
+}
+
 @article{Auffinger_2022_The,
  author = {Auffinger, Antonio and Zhou, Yuxin},
  title = {The Spherical {$p+s$} Spin Glass At Zero Temperature},
@@ -24,6 +38,48 @@
  doi = {10.1002/cpa.21875}
 }
 
+@article{Bray_2007_Statistics,
+ author = {Bray, Alan J. and Dean, David S.},
+ title = {Statistics of Critical Points of {Gaussian} Fields on Large-Dimensional Spaces},
+ journal = {Physical Review Letters},
+ publisher = {American Physical Society (APS)},
+ year = {2007},
+ month = {4},
+ number = {15},
+ volume = {98},
+ pages = {150201},
+ url = {https://doi.org/10.1103%2Fphysrevlett.98.150201},
+ doi = {10.1103/physrevlett.98.150201}
+}
+
+@article{Cavagna_1998_Stationary,
+ author = {Cavagna, Andrea and Giardina, Irene and Parisi, Giorgio},
+ title = {Stationary points of the {Thouless}-{Anderson}-{Palmer} free energy},
+ journal = {Physical Review B},
+ publisher = {American Physical Society (APS)},
+ year = {1998},
+ month = {5},
+ number = {18},
+ volume = {57},
+ pages = {11251--11257},
+ url = {https://doi.org/10.1103%2Fphysrevb.57.11251},
+ doi = {10.1103/physrevb.57.11251}
+}
+
+@article{Crisanti_1992_The,
+ author = {Crisanti, A. and Sommers, H.-J.},
+ title = {The spherical $p$-spin interaction spin glass model: the statics},
+ journal = {Zeitschrift für Physik B Condensed Matter},
+ publisher = {Springer Science and Business Media LLC},
+ year = {1992},
+ month = {10},
+ number = {3},
+ volume = {87},
+ pages = {341--354},
+ url = {https://doi.org/10.1007%2Fbf01309287},
+ doi = {10.1007/bf01309287}
+}
+
 @article{Crisanti_2004_Spherical,
  author = {Crisanti, A. and Leuzzi, L.},
  title = {Spherical $2+p$ Spin-Glass Model: An Exactly Solvable Model for Glass to Spin-Glass Transition},
@@ -95,6 +151,20 @@
  numpages = {26}
 }
 
+@article{Folena_2021_Gradient,
+ author = {Folena, Giampaolo and Franz, Silvio and Ricci-Tersenghi, Federico},
+ title = {Gradient descent dynamics in the mixed $p$-spin spherical model: finite-size simulations and comparison with mean-field integration},
+ journal = {Journal of Statistical Mechanics: Theory and Experiment},
+ publisher = {IOP Publishing},
+ year = {2021},
+ month = {3},
+ number = {3},
+ volume = {2021},
+ pages = {033302},
+ url = {https://doi.org/10.1088%2F1742-5468%2Fabe29f},
+ doi = {10.1088/1742-5468/abe29f}
+}
+
 @article{Folena_2023_On,
  author = {Folena, Giampaolo and Zamponi, Francesco},
  title = {On weak ergodicity breaking in mean-field spin glasses},
@@ -121,6 +191,20 @@
  doi = {10.1103/physrevlett.92.240601}
 }
 
+@article{Fyodorov_2007_Density,
+ author = {Fyodorov, Y. V. and Sommers, H.-J. and Williams, I.},
+ title = {Density of stationary points in a high dimensional random energy landscape and the onset of glassy behavior},
+ journal = {JETP Letters},
+ publisher = {Pleiades Publishing Ltd},
+ year = {2007},
+ month = {5},
+ number = {5},
+ volume = {85},
+ pages = {261--266},
+ url = {https://doi.org/10.1134%2Fs0021364007050098},
+ doi = {10.1134/s0021364007050098}
+}
+
 @article{Fyodorov_2012_Critical,
  author = {Fyodorov, Yan V. and Nadal, Celine},
  title = {Critical Behavior of the Number of Minima of a Random Landscape at the Glass Transition Point and the Tracy-Widom Distribution},
@@ -149,6 +233,20 @@
  doi = {10.1103/physrevlett.130.237103}
 }
 
+@article{Kent-Dobias_2021_Complex,
+ author = {Kent-Dobias, Jaron and Kurchan, Jorge},
+ title = {Complex complex landscapes},
+ journal = {Physical Review Research},
+ publisher = {American Physical Society (APS)},
+ year = {2021},
+ month = {4},
+ number = {2},
+ volume = {3},
+ pages = {023064},
+ url = {https://doi.org/10.1103%2Fphysrevresearch.3.023064},
+ doi = {10.1103/physrevresearch.3.023064}
+}
+
 @article{Kent-Dobias_2023_How,
  author = {Kent-Dobias, Jaron and Kurchan, Jorge},
  title = {How to count in hierarchical landscapes: a full solution to mean-field complexity},
@@ -163,6 +261,20 @@
  doi = {10.1103/PhysRevE.107.064111}
 }
 
+@article{Krzakala_2007_Landscape,
+ author = {Krzakala, Florent and Kurchan, Jorge},
+ title = {Landscape analysis of constraint satisfaction problems},
+ journal = {Physical Review E},
+ publisher = {American Physical Society (APS)},
+ year = {2007},
+ month = {8},
+ number = {2},
+ volume = {76},
+ pages = {021122},
+ url = {https://doi.org/10.1103%2Fphysreve.76.021122},
+ doi = {10.1103/physreve.76.021122}
+}
+
 @article{Muller_2006_Marginal,
  author = {Müller, Markus and Leuzzi, Luca and Crisanti, Andrea},
  title = {Marginal states in mean-field glasses},
@@ -230,6 +342,20 @@ interactions: the typical number of equilibria},
  eprinttype = {arxiv}
 }
 
+@article{Stein_1995_Broken,
+ author = {Stein, D. L. and Newman, C. M.},
+ title = {Broken ergodicity and the geometry of rugged landscapes},
+ journal = {Physical Review E},
+ publisher = {American Physical Society (APS)},
+ year = {1995},
+ month = {6},
+ number = {6},
+ volume = {51},
+ pages = {5228--5238},
+ url = {https://doi.org/10.1103%2Fphysreve.51.5228},
+ doi = {10.1103/physreve.51.5228}
+}
+
 @article{Wainrib_2013_Topological,
  author = {Wainrib, Gilles and Touboul, Jonathan},
  title = {Topological and Dynamical Complexity of Random Neural Networks},
@@ -244,3 +370,17 @@ interactions: the typical number of equilibria},
  doi = {10.1103/physrevlett.110.118101}
 }
 
+@article{Yang_2023_Stochastic,
+ author = {Yang, Ning and Tang, Chao and Tu, Yuhai},
+ title = {Stochastic Gradient Descent Introduces an Effective Landscape-Dependent Regularization Favoring Flat Solutions},
+ journal = {Physical Review Letters},
+ publisher = {American Physical Society (APS)},
+ year = {2023},
+ month = {6},
+ number = {23},
+ volume = {130},
+ pages = {237101},
+ url = {https://doi.org/10.1103%2Fphysrevlett.130.237101},
+ doi = {10.1103/physrevlett.130.237101}
+}
+