1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
|
@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{Kac_1943_On,
author = {Kac, M.},
title = {On the average number of real roots of a random algebraic equation},
journal = {Bulletin of the American Mathematical Society},
publisher = {American Mathematical Society},
year = {1943},
month = {4},
number = {4},
volume = {49},
pages = {314--320},
url = {https://projecteuclid.org:443/euclid.bams/1183505112}
}
@article{Rice_1944_Mathematical,
author = {Rice, S. O.},
title = {Mathematical Analysis of Random Noise},
journal = {Bell System Technical Journal},
publisher = {Institute of Electrical and Electronics Engineers (IEEE)},
year = {1944},
month = {7},
number = {3},
volume = {23},
pages = {282--332},
url = {https://doi.org/10.1002%2Fj.1538-7305.1944.tb00874.x},
doi = {10.1002/j.1538-7305.1944.tb00874.x}
}
@article{Ros_2019_Complex,
author = {Ros, Valentina and Ben Arous, GĂ©rard and Biroli, Giulio and Cammarota, Chiara},
title = {Complex Energy Landscapes in Spiked-Tensor and Simple Glassy Models: Ruggedness, Arrangements of Local Minima, and Phase Transitions},
journal = {Physical Review X},
publisher = {American Physical Society (APS)},
year = {2019},
month = {1},
number = {1},
volume = {9},
pages = {011003},
url = {https://doi.org/10.1103%2Fphysrevx.9.011003},
doi = {10.1103/physrevx.9.011003}
}
@article{Ros_2019_Complexity,
author = {Ros, V. and Biroli, G. and Cammarota, C.},
title = {Complexity of energy barriers in mean-field glassy systems},
journal = {EPL (Europhysics Letters)},
publisher = {IOP Publishing},
year = {2019},
month = {5},
number = {2},
volume = {126},
pages = {20003},
url = {https://doi.org/10.1209%2F0295-5075%2F126%2F20003},
doi = {10.1209/0295-5075/126/20003}
}
@article{Ros_2020_Distribution,
author = {Ros, Valentina},
title = {Distribution of rare saddles in the {$p$}-spin energy landscape},
journal = {Journal of Physics A: Mathematical and Theoretical},
publisher = {IOP Publishing},
year = {2020},
month = {3},
number = {12},
volume = {53},
pages = {125002},
url = {https://doi.org/10.1088%2F1751-8121%2Fab73ac},
doi = {10.1088/1751-8121/ab73ac}
}
|