@book{Audin_2014_Morse,
 author = {Audin, Michèle and Damian, Mihai},
 title = {Morse theory and {Floer} homology},
 publisher = {Springer},
 year = {2014},
 address = {London},
 isbn = {9781447154952},
 series = {Universitext},
 translator = {Erné, Reinie}
}

@article{Fyodorov_2004_Complexity,
 author = {Fyodorov, Yan V.},
 title = {Complexity of Random Energy Landscapes, Glass Transition, and Absolute Value of the Spectral Determinant of Random Matrices},
 journal = {Physical Review Letters},
 publisher = {American Physical Society (APS)},
 year = {2004},
 month = {6},
 number = {24},
 volume = {92},
 pages = {240601},
 url = {https://doi.org/10.1103%2Fphysrevlett.92.240601},
 doi = {10.1103/physrevlett.92.240601}
}

@article{Fyodorov_2019_A,
 author = {Fyodorov, Yan V.},
 title = {A Spin Glass Model for Reconstructing Nonlinearly Encrypted Signals Corrupted by Noise},
 journal = {Journal of Statistical Physics},
 publisher = {Springer Science and Business Media LLC},
 year = {2019},
 month = {1},
 number = {5},
 volume = {175},
 pages = {789--818},
 url = {https://doi.org/10.1007%2Fs10955-018-02217-9},
 doi = {10.1007/s10955-018-02217-9}
}

@article{Fyodorov_2020_Counting,
 author = {Fyodorov, Y. V. and Tublin, R.},
 title = {Counting Stationary Points of the Loss Function in the Simplest Constrained Least-square Optimization},
 journal = {Acta Physica Polonica B},
 publisher = {Jagiellonian University},
 year = {2020},
 number = {7},
 volume = {51},
 pages = {1663},
 url = {http://dx.doi.org/10.5506/APhysPolB.51.1663},
 doi = {10.5506/aphyspolb.51.1663},
 issn = {1509-5770}
}

@article{Fyodorov_2022_Optimization,
 author = {Fyodorov, Yan V and Tublin, Rashel},
 title = {Optimization landscape in the simplest constrained random least-square problem},
 journal = {Journal of Physics A: Mathematical and Theoretical},
 publisher = {IOP Publishing},
 year = {2022},
 month = {May},
 number = {24},
 volume = {55},
 pages = {244008},
 url = {http://dx.doi.org/10.1088/1751-8121/ac6d8e},
 doi = {10.1088/1751-8121/ac6d8e},
 issn = {1751-8121}
}

@book{Hatcher_2002_Algebraic,
 author = {Hatcher, Allen},
 title = {Algebraic topology},
 publisher = {Cambridge University Press},
 year = {2002},
 address = {Cambridge ; New York},
 isbn = {9780521791601 9780521795401},
 keyword = {Algebraic topology}
}

@article{Kamali_2023_Dynamical,
 author = {Kamali, Persia Jana and Urbani, Pierfrancesco},
 title = {Dynamical mean field theory for models of confluent tissues and beyond},
 journal = {SciPost Physics},
 publisher = {Stichting SciPost},
 year = {2023},
 month = {November},
 number = {5},
 volume = {15},
 pages = {219},
 url = {http://dx.doi.org/10.21468/SciPostPhys.15.5.219},
 doi = {10.21468/scipostphys.15.5.219},
 issn = {2542-4653}
}

@unpublished{Kamali_2023_Stochastic,
 author = {Kamali, Persia Jana and Urbani, Pierfrancesco},
 title = {Stochastic Gradient Descent outperforms Gradient Descent in recovering a high-dimensional signal in a glassy energy landscape},
 year = {2023},
 month = {sep},
 url = {http://arxiv.org/abs/2309.04788v2},
 note = {},
 archiveprefix = {arXiv},
 eprint = {2309.04788v2},
 eprintclass = {cs.LG},
 eprinttype = {arxiv}
}

@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}
}

@unpublished{Kent-Dobias_2024_Algorithm-independent,
 author = {Kent-Dobias, Jaron},
 title = {Algorithm-independent bounds on complex optimization through the statistics of marginal optima},
 year = {2024},
 url = {https://arxiv.org/abs/2407.02092},
 archiveprefix = {arXiv},
 eprint = {2407.02092},
 primaryclass = {cond-mat.dis-nn}
}

@unpublished{Kent-Dobias_2024_Conditioning,
 author = {Kent-Dobias, Jaron},
 title = {Conditioning the complexity of random landscapes on marginal optima},
 year = {2024},
 url = {https://arxiv.org/abs/2407.02082},
 archiveprefix = {arXiv},
 eprint = {2407.02082},
 primaryclass = {cond-mat.dis-nn}
}

@unpublished{Montanari_2023_Solving,
 author = {Montanari, Andrea and Subag, Eliran},
 title = {Solving overparametrized systems of random equations: I. Model and algorithms for approximate solutions},
 year = {2023},
 month = {jun},
 url = {http://arxiv.org/abs/2306.13326v1},
 note = {},
 archiveprefix = {arXiv},
 eprint = {2306.13326v1},
 eprintclass = {math.PR},
 eprinttype = {arxiv}
}

@unpublished{Montanari_2024_On,
 author = {Montanari, Andrea and Subag, Eliran},
 title = {On {Smale}'s 17th problem over the reals},
 year = {2024},
 month = {may},
 url = {http://arxiv.org/abs/2405.01735v1},
 note = {},
 archiveprefix = {arXiv},
 eprint = {2405.01735v1},
 eprintclass = {cs.DS},
 eprinttype = {arxiv}
}

@article{Urbani_2023_A,
 author = {Urbani, Pierfrancesco},
 title = {A continuous constraint satisfaction problem for the rigidity transition in confluent tissues},
 journal = {Journal of Physics A: Mathematical and Theoretical},
 publisher = {IOP Publishing},
 year = {2023},
 month = {February},
 number = {11},
 volume = {56},
 pages = {115003},
 url = {http://dx.doi.org/10.1088/1751-8121/acb742},
 doi = {10.1088/1751-8121/acb742},
 issn = {1751-8121}
}

@unpublished{Urbani_2024_Statistical,
 author = {Urbani, Pierfrancesco},
 title = {Statistical physics of complex systems: glasses, spin glasses, continuous constraint satisfaction problems, high-dimensional inference and neural networks},
 year = {2024},
 month = {may},
 url = {http://arxiv.org/abs/2405.06384v1},
 note = {},
 archiveprefix = {arXiv},
 eprint = {2405.06384v1},
 eprintclass = {cond-mat.dis-nn},
 eprinttype = {arxiv}
}

@unpublished{Vivo_2024_Random,
 author = {Vivo, Pierpaolo},
 title = {Random Linear Systems with Quadratic Constraints: from Random Matrix Theory to replicas and back},
 year = {2024},
 month = {jan},
 url = {http://arxiv.org/abs/2401.03209v2},
 archiveprefix = {arXiv},
 eprint = {2401.03209v2},
 eprintclass = {cond-mat.stat-mech},
 eprinttype = {arxiv}
}