summaryrefslogtreecommitdiff
path: root/bezout.bib
blob: ba871fb8c6ed2945092f1253db4cdab3f436f423 (plain)
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
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
@article{Anninos_2016_Disordered,
 author = {Anninos, Dionysios and Anous, Tarek and Denef, Frederik},
 title = {Disordered quivers and cold horizons},
 journal = {Journal of High Energy Physics},
 publisher = {Springer Science and Business Media LLC},
 year = {2016},
 month = {12},
 volume = {2016},
 pages = {71},
 url = {https://doi.org/10.1007%2Fjhep12%282016%29071},
 doi = {10.1007/jhep12(2016)071}
}

@article{Antenucci_2015_Complex,
 author = {Antenucci, F. and Crisanti, A. and Leuzzi, L.},
 title = {Complex spherical {$2+4$} spin glass: A model for nonlinear optics in random media},
 journal = {Physical Review A},
 publisher = {American Physical Society (APS)},
 year = {2015},
 month = {5},
 number = {5},
 volume = {91},
 pages = {053816},
 url = {https://doi.org/10.1103%2Fphysreva.91.053816},
 doi = {10.1103/physreva.91.053816}
}

@article{Auffinger_2012_Random,
 author = {Auffinger, Antonio and Ben Arous, Gérard and Černý, Jiří},
 title = {Random Matrices and Complexity of Spin Glasses},
 journal = {Communications on Pure and Applied Mathematics},
 publisher = {Wiley},
 year = {2012},
 month = {9},
 number = {2},
 volume = {66},
 pages = {165--201},
 url = {https://doi.org/10.1002%2Fcpa.21422},
 doi = {10.1002/cpa.21422}
}

@article{Auffinger_2013_Complexity,
 author = {Auffinger, Antonio and Ben Arous, Gérard},
 title = {Complexity of random smooth functions on the high-dimensional sphere},
 journal = {The Annals of Probability},
 publisher = {Institute of Mathematical Statistics},
 year = {2013},
 month = {11},
 number = {6},
 volume = {41},
 pages = {4214--4247},
 url = {https://doi.org/10.1214%2F13-aop862},
 doi = {10.1214/13-aop862}
}

@article{Behtash_2017_Toward,
 author = {Behtash, Alireza and Dunne, Gerald V. and Schäfer, Thomas and Sulejmanpasic, Tin and Ünsal, Mithat},
 title = {Toward {Picard}{Lefschetz} theory of path integrals, complex saddles and resurgence},
 journal = {Annals of Mathematical Sciences and Applications},
 publisher = {International Press of Boston},
 year = {2017},
 number = {1},
 volume = {2},
 pages = {95--212},
 url = {https://doi.org/10.4310%2Famsa.2017.v2.n1.a3},
 doi = {10.4310/amsa.2017.v2.n1.a3}
}

@book{Bezout_1779_Theorie,
 author = {Bézout, Etienne},
 title = {Théorie générale des équations algébriques},
 publisher = {L'imprimerie de Ph.-D. Pierres},
 year = {1779},
 url = {https://archive.org/details/thoriegnra00bz/},
 address = {rue S. Jacques, Paris}
}

@article{Bogomolny_1992_Distribution,
 author = {Bogomolny, E. and Bohigas, O. and Leboeuf, P.},
 title = {Distribution of roots of random polynomials},
 journal = {Physical Review Letters},
 publisher = {American Physical Society (APS)},
 year = {1992},
 month = {5},
 number = {18},
 volume = {68},
 pages = {2726--2729},
 url = {https://doi.org/10.1103%2Fphysrevlett.68.2726},
 doi = {10.1103/physrevlett.68.2726}
}

@article{Bray_1980_Metastable,
 author = {Bray, A J and Moore, M A},
 title = {Metastable states in spin glasses},
 journal = {Journal of Physics C: Solid State Physics},
 publisher = {IOP Publishing},
 year = {1980},
 month = {7},
 number = {19},
 volume = {13},
 pages = {L469--L476},
 url = {https://doi.org/10.1088%2F0022-3719%2F13%2F19%2F002},
 doi = {10.1088/0022-3719/13/19/002}
}

@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{Cartwright_2013_The,
 author = {Cartwright, Dustin and Sturmfels, Bernd},
 title = {The number of eigenvalues of a tensor},
 journal = {Linear Algebra and its Applications},
 publisher = {Elsevier BV},
 year = {2013},
 month = {1},
 number = {2},
 volume = {438},
 pages = {942--952},
 url = {https://doi.org/10.1016%2Fj.laa.2011.05.040},
 doi = {10.1016/j.laa.2011.05.040}
}

@article{Castellani_2005_Spin-glass,
 author = {Castellani, Tommaso and Cavagna, Andrea},
 title = {Spin-glass theory for pedestrians},
 journal = {Journal of Statistical Mechanics: Theory and Experiment},
 publisher = {IOP Publishing},
 year = {2005},
 month = {5},
 number = {05},
 volume = {2005},
 pages = {P05012},
 url = {https://doi.org/10.1088%2F1742-5468%2F2005%2F05%2Fp05012},
 doi = {10.1088/1742-5468/2005/05/p05012}
}

@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_1995_Thouless-Anderson-Palmer,
 author = {Crisanti, A. and Sommers, H.-J.},
 title = {{Thouless}-{Anderson}-{Palmer} Approach to the Spherical p-Spin Spin Glass Model},
 journal = {Journal de Physique I},
 publisher = {EDP Sciences},
 year = {1995},
 month = {7},
 number = {7},
 volume = {5},
 pages = {805--813},
 url = {https://doi.org/10.1051%2Fjp1%3A1995164},
 doi = {10.1051/jp1:1995164}
}

@article{Cristoforetti_2012_New,
 author = {Cristoforetti, Marco and Di Renzo, Francesco and Scorzato, Luigi},
 title = {New approach to the sign problem in quantum field theories: High density {QCD} on a {Lefschetz} thimble},
 journal = {Physical Review D},
 publisher = {American Physical Society (APS)},
 year = {2012},
 month = {10},
 number = {7},
 volume = {86},
 pages = {074506},
 url = {https://doi.org/10.1103%2Fphysrevd.86.074506},
 doi = {10.1103/physrevd.86.074506}
}

@article{Cugliandolo_1993_Analytical,
 author = {Cugliandolo, L. F. and Kurchan, J.},
 title = {Analytical solution of the off-equilibrium dynamics of a long-range spin-glass model},
 journal = {Physical Review Letters},
 publisher = {American Physical Society (APS)},
 year = {1993},
 month = {7},
 number = {1},
 volume = {71},
 pages = {173--176},
 url = {https://doi.org/10.1103%2Fphysrevlett.71.173},
 doi = {10.1103/physrevlett.71.173}
}

@article{Dyson_1962_A,
 author = {Dyson, Freeman J.},
 title = {A {Brownian}-Motion Model for the Eigenvalues of a Random Matrix},
 journal = {Journal of Mathematical Physics},
 publisher = {AIP Publishing},
 year = {1962},
 month = {11},
 number = {6},
 volume = {3},
 pages = {1191--1198},
 url = {https://doi.org/10.1063%2F1.1703862},
 doi = {10.1063/1.1703862}
}

@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{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}
}

@book{Livan_2018_Introduction,
 author = {Livan, Giacomo and Novaes, Marcel and Vivo, Pierpaolo},
 title = {Introduction to Random Matrices},
 publisher = {Springer International Publishing},
 year = {2018},
 volume = {26},
 url = {https://doi.org/10.1007%2F978-3-319-70885-0},
 doi = {10.1007/978-3-319-70885-0},
 series = {SpringerBriefs in Mathematical Physics},
 subtitle = {Theory and Practice}
}

@article{Manschot_2012_From,
 author = {Manschot, Jan and Pioline, Boris and Sen, Ashoke},
 title = {From black holes to quivers},
 journal = {Journal of High Energy Physics},
 publisher = {Springer Science and Business Media LLC},
 year = {2012},
 month = {11},
 volume = {2012},
 pages = {23},
 url = {https://doi.org/10.1007%2Fjhep11%282012%29023},
 doi = {10.1007/jhep11(2012)023}
}

@book{Mezard_2009_Information,
 author = {Mézard, Marc and Montanari, Andrea},
 title = {Information, physics, and computation},
 publisher = {Oxford University Press},
 year = {2009},
 address = {Great Clarendon Street, Oxford},
 isbn = {9780198570837},
 series = {Oxford Graduate Texts}
}

@article{Nguyen_2014_The,
 author = {Nguyen, Hoi H. and O'Rourke, Sean},
 title = {The Elliptic Law},
 journal = {International Mathematics Research Notices},
 publisher = {Oxford University Press (OUP)},
 year = {2014},
 month = {10},
 number = {17},
 volume = {2015},
 pages = {7620--7689},
 url = {https://doi.org/10.1093%2Fimrn%2Frnu174},
 doi = {10.1093/imrn/rnu174}
}

@article{Rice_1939_The,
 author = {Rice, S. O.},
 title = {The Distribution of the Maxima of a Random Curve},
 journal = {American Journal of Mathematics},
 publisher = {JSTOR},
 year = {1939},
 month = {4},
 number = {2},
 volume = {61},
 pages = {409},
 url = {https://doi.org/10.2307%2F2371510},
 doi = {10.2307/2371510}
}

@inproceedings{Scorzato_2016_The,
 author = {Scorzato, Luigi},
 title = {The {Lefschetz} thimble and the sign problem},
 publisher = {Sissa Medialab},
 year = {2016},
 month = {7},
 volume = {251},
 url = {https://doi.org/10.22323%2F1.251.0016},
 doi = {10.22323/1.251.0016},
 booktitle = {Proceedings of The 33rd International Symposium on Lattice Field Theory ({LATTICE} 2015)},
 series = {Proceedings of Science}
}

@article{Tanizaki_2017_Gradient,
 author = {Tanizaki, Yuya and Nishimura, Hiromichi and Verbaarschot, Jacobus J. M.},
 title = {Gradient flows without blow-up for {Lefschetz} thimbles},
 journal = {Journal of High Energy Physics},
 publisher = {Springer Science and Business Media LLC},
 year = {2017},
 month = {10},
 number = {10},
 volume = {2017},
 pages = {100},
 url = {https://doi.org/10.1007%2Fjhep10%282017%29100},
 doi = {10.1007/jhep10(2017)100}
}

@article{Weyl_1912_Das,
 author = {Weyl, Hermann},
 title = {Das asymptotische Verteilungsgesetz der Eigenwerte linearer partieller Differentialgleichungen (mit einer Anwendung auf die Theorie der Hohlraumstrahlung)},
 journal = {Mathematische Annalen},
 publisher = {Springer Science and Business Media LLC},
 year = {1912},
 month = {12},
 number = {4},
 volume = {71},
 pages = {441--479},
 url = {https://doi.org/10.1007%2Fbf01456804},
 doi = {10.1007/bf01456804}
}

@article{Witten_2010_A,
 author = {Witten, Edward},
 title = {A new look at the path integral of quantum mechanics},
 journal = {Surveys in Differential Geometry},
 publisher = {International Press of Boston},
 year = {2010},
 number = {1},
 volume = {15},
 pages = {345--420},
 url = {https://doi.org/10.4310%2Fsdg.2010.v15.n1.a11},
 doi = {10.4310/sdg.2010.v15.n1.a11}
}

@incollection{Witten_2011_Analytic,
 author = {Witten, Edward},
 title = {Analytic continuation of {Chern}-{Simons} theory},
 publisher = {American Mathematical Society},
 year = {2011},
 month = {7},
 volume = {50},
 pages = {347--446},
 url = {https://doi.org/10.1090%2Famsip%2F050%2F19},
 doi = {10.1090/amsip/050/19},
 booktitle = {{Chern}-{Simons} Gauge Theory: 20 Years After},
 editor = {Andersen, Jørgen E. and Boden, Hans U. and Hahn, Atle and Himpel, Benjamin},
 series = {AMS/IP Studies in Advanced Mathematics}
}