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@@ -1,3 +1,150 @@ +@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}, @@ -12,6 +159,76 @@ 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{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} +} + @book{Forstneric_2017_Stein, author = {Forstnerič, Franc}, title = {{Stein} Manifolds and Holomorphic Mappings}, @@ -26,6 +243,33 @@ 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{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}, @@ -40,6 +284,41 @@ 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}, @@ -50,9 +329,91 @@ 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{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}, + title = {Analytic continuation of {Chern}-{Simons} theory}, publisher = {American Mathematical Society}, year = {2011}, month = {7}, @@ -60,7 +421,7 @@ 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}, + 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} } |