path: root/stokes.bib

@article{Alexandru_2022_Complex,
 author = {Alexandru, Andrei and Başar, Gökçe and Bedaque, Paulo F. and Warrington, Neill C.},
 title = {Complex paths around the sign problem},
 journal = {Reviews of Modern Physics},
 publisher = {American Physical Society (APS)},
 year = {2022},
 month = {3},
 number = {1},
 volume = {94},
 pages = {015006},
 url = {https://doi.org/10.1103%2Frevmodphys.94.015006},
 doi = {10.1103/revmodphys.94.015006}
}

@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{Cavagna_1999_Energy,
 author = {Cavagna, Andrea and Garrahan, Juan P. and Giardina, Irene},
 title = {Energy distribution of maxima and minima in a one-dimensional random system},
 journal = {Physical Review E},
 publisher = {American Physical Society (APS)},
 year = {1999},
 month = {3},
 number = {3},
 volume = {59},
 pages = {2808--2811},
 url = {https://doi.org/10.1103%2Fphysreve.59.2808},
 doi = {10.1103/physreve.59.2808}
}

@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{Derrida_1991_The,
 author = {Derrida, Bernard},
 title = {The zeroes of the partition function of the random energy model},
 journal = {Physica A: Statistical Mechanics and its Applications},
 publisher = {Elsevier BV},
 year = {1991},
 month = {9},
 number = {1-3},
 volume = {177},
 pages = {31--37},
 url = {https://doi.org/10.1016%2F0378-4371%2891%2990130-5},
 doi = {10.1016/0378-4371(91)90130-5}
}

@article{During_2010_Statistical,
 author = {Düring, G. and Kurchan, J.},
 title = {Statistical mechanics of {Monte} {Carlo} sampling and the sign problem},
 journal = {EPL (Europhysics Letters)},
 publisher = {IOP Publishing},
 year = {2010},
 month = {12},
 number = {5},
 volume = {92},
 pages = {50004},
 url = {https://doi.org/10.1209%2F0295-5075%2F92%2F50004},
 doi = {10.1209/0295-5075/92/50004}
}

@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{Folena_2020_Rethinking,
 author = {Folena, Giampaolo and Franz, Silvio and Ricci-Tersenghi, Federico},
 title = {Rethinking Mean-Field Glassy Dynamics and Its Relation with the Energy Landscape: The Surprising Case of the Spherical Mixed $p$-Spin Model},
 journal = {Physical Review X},
 publisher = {American Physical Society},
 year = {2020},
 month = {8},
 volume = {10},
 pages = {031045},
 url = {https://link.aps.org/doi/10.1103/PhysRevX.10.031045},
 doi = {10.1103/PhysRevX.10.031045},
 issue = {3},
 numpages = {26}
}

@book{Forstneric_2017_Stein,
 author = {Forstnerič, Franc},
 title = {{Stein} Manifolds and Holomorphic Mappings},
 publisher = {Springer International Publishing},
 year = {2017},
 volume = {56},
 url = {https://doi.org/10.1007%2F978-3-319-61058-0},
 doi = {10.1007/978-3-319-61058-0},
 edition = {2},
 isbn = {978-3-319-61058-0},
 series = {Ergebnisse der Mathematik und ihrer Grenzgebiete},
 subtitle = {The Homotopy Principle in Complex Analysis}
}

@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{Howls_1997_Hyperasymptotics,
 author = {Howls, C. J.},
 title = {Hyperasymptotics for multidimensional integrals, exact remainder terms and the global connection problem},
 journal = {Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences},
 publisher = {The Royal Society},
 year = {1997},
 month = {11},
 number = {1966},
 volume = {453},
 pages = {2271--2294},
 url = {https://doi.org/10.1098%2Frspa.1997.0122},
 doi = {10.1098/rspa.1997.0122}
}

@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{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}
}

@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}
}

@book{Morrow_2006_Complex,
 author = {Morrow, James and Kodaira, Kunihiko},
 title = {Complex manifolds},
 publisher = {AMS Chelsea Publishing: An Imprint of the American Mathematical Society},
 year = {1971},
 url = {https://bookstore.ams.org/chel-355-h},
 address = {Providence, RI},
 isbn = {9780821840559}
}

@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{Obuchi_2012_Partition-function,
 author = {Obuchi, Tomoyuki and Takahashi, Kazutaka},
 title = {Partition-function zeros of spherical spin glasses and their relevance to chaos},
 journal = {Journal of Physics A: Mathematical and Theoretical},
 publisher = {IOP Publishing},
 year = {2012},
 month = {3},
 number = {12},
 volume = {45},
 pages = {125003},
 url = {https://doi.org/10.1088%2F1751-8113%2F45%2F12%2F125003},
 doi = {10.1088/1751-8113/45/12/125003}
}

@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}
}

@article{Ros_2021_Dynamical,
 author = {Ros, Valentina and Biroli, Giulio and Cammarota, Chiara},
 title = {Dynamical instantons and activated processes in mean-field glass models},
 journal = {SciPost Physics},
 publisher = {Stichting SciPost},
 year = {2021},
 month = {1},
 number = {1},
 volume = {10},
 pages = {002},
 url = {https://doi.org/10.21468%2Fscipostphys.10.1.002},
 doi = {10.21468/scipostphys.10.1.002}
}

@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{Takagi_1924_On,
 author = {Takagi, Teiji},
 title = {On an Algebraic Problem Related to an Analytic Theorem of {Carathéodory} and {Fejér} and on an Allied Theorem of {Landau}},
 journal = {Japanese journal of mathematics: transactions and abstracts},
 publisher = {Mathematical Society of Japan (JST)},
 year = {1924},
 number = {0},
 volume = {1},
 pages = {83--93},
 url = {https://doi.org/10.4099%2Fjjm1924.1.0_83},
 doi = {10.4099/jjm1924.1.0_83}
}

@article{Takahashi_2013_Zeros,
 author = {Takahashi, Kazutaka and Obuchi, Tomoyuki},
 title = {Zeros of the partition function and dynamical singularities in spin-glass systems},
 journal = {Journal of Physics: Conference Series},
 publisher = {IOP Publishing},
 year = {2013},
 month = {12},
 volume = {473},
 pages = {012023},
 url = {https://doi.org/10.1088%2F1742-6596%2F473%2F1%2F012023},
 doi = {10.1088/1742-6596/473/1/012023}
}

@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}
}