{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T18:26:00Z","timestamp":1776795960883,"version":"3.51.2"},"reference-count":87,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2014,4,12]],"date-time":"2014-04-12T00:00:00Z","timestamp":1397260800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Commun. Math. Phys."],"published-print":{"date-parts":[[2014,9]]},"DOI":"10.1007\/s00220-014-2028-7","type":"journal-article","created":{"date-parts":[[2014,4,11]],"date-time":"2014-04-11T17:14:55Z","timestamp":1397236495000},"page":"655-721","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":55,"title":["The Resurgence of Instantons: Multi-Cut Stokes Phases and the Painlev\u00e9 II Equation"],"prefix":"10.1007","volume":"330","author":[{"given":"Ricardo","family":"Schiappa","sequence":"first","affiliation":[]},{"given":"Ricardo","family":"Vaz","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2014,4,12]]},"reference":[{"key":"2028_CR1","first-page":"461","volume":"B72","author":"G. \u2019t Hooft","year":"1974","unstructured":"\u2019t Hooft G.: A planar diagram theory for strong interactions. Nucl. Phys. B72, 461 (1974)","journal-title":"Nucl. Phys."},{"key":"2028_CR2","unstructured":"Maldacena, J.M.: The large N limit of superconformal field theories and supergravity. Adv. Theor. Math. Phys. 2, 231 (1998). arXiv:hep-th\/9711200"},{"key":"2028_CR3","doi-asserted-by":"crossref","unstructured":"Shenker, S.H.: The strength of nonperturbative effects in string theory. In: Brezin, E., Wadia, S.R. (eds.) The large N expansion in quantum field theory and statistical physics, pp. 809\u2013819","DOI":"10.1142\/9789814365802_0057"},{"key":"2028_CR4","first-page":"1620","volume":"D7","author":"C.M. Bender","year":"1973","unstructured":"Bender C.M., Wu T.T.: Anharmonic oscillator 2: a study of perturbation theory in large order. Phys. Rev. D7, 1620 (1973)","journal-title":"Phys. Rev."},{"key":"2028_CR5","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1016\/0370-1573(81)90016-8","volume":"70","author":"J. Zinn-Justin","year":"1981","unstructured":"Zinn-Justin J.: Perturbation series at large orders in quantum mechanics and field theories: application to the problem of resummation. Phys. Rep. 70, 109 (1981)","journal-title":"Phys. Rep."},{"key":"2028_CR6","doi-asserted-by":"crossref","unstructured":"Mari\u00f1o, M.: Open string amplitudes and large-order behavior in topological string theory. JHEP 0803, 060 (2008). arXiv:hep-th\/0612127","DOI":"10.1088\/1126-6708\/2008\/03\/060"},{"key":"2028_CR7","unstructured":"Mari\u00f1o, M., Schiappa, R., Weiss, M.: Nonperturbative effects and the large-order behavior of matrix models and topological strings. Commun. Number Theor. Phys. 2, 349 (2008). arXiv:0711.1954 [hep-th]"},{"key":"2028_CR8","doi-asserted-by":"crossref","unstructured":"Mari\u00f1o, M.: Nonperturbative effects and nonperturbative definitions in matrix models and topological strings. JHEP 0812, 114 (2008). arXiv:0805.3033 [hep-th]","DOI":"10.1088\/1126-6708\/2008\/12\/114"},{"key":"2028_CR9","unstructured":"Mari\u00f1o, M., Schiappa, R., Weiss, M.: Multi-instantons and multi-cuts. J. Math. Phys. 50, 052301 (2009). arXiv:0809.2619 [hep-th]"},{"key":"2028_CR10","unstructured":"Eynard, B., Mari\u00f1o, M.: A holomorphic and background independent partition function for matrix models and topological strings. J. Geom. Phys. 61, 1181 (2011). arXiv:0810.4273 [hep-th]"},{"key":"2028_CR11","doi-asserted-by":"crossref","unstructured":"Pasquetti, S., Schiappa, R.: Borel and Stokes nonperturbative phenomena in topological string theory and c\u00a0=\u00a01 matrix models. Ann. Henri Poincar\u00e9 11, 351 (2010). arXiv:0907.4082 [hep-th]","DOI":"10.1007\/s00023-010-0044-5"},{"key":"2028_CR12","doi-asserted-by":"crossref","unstructured":"Mari\u00f1o, M., Pasquetti, S., Putrov, P.: Large N duality beyond the genus expansion. JHEP 1007, 074 (2010). arXiv:0911.4692 [hep-th]","DOI":"10.1007\/JHEP07(2010)074"},{"key":"2028_CR13","unstructured":"Garoufalidis, S., Its, A., Kapaev, A., Mari\u00f1o, M.: Asymptotics of the instantons of Painlev\u00e9 I. Int. Math. Res. Not. 2012, 561 (2012). arXiv:1002.3634 [math.CA]"},{"key":"2028_CR14","doi-asserted-by":"crossref","unstructured":"Klemm, A., Mari\u00f1o, M., Rauch, M.: Direct integration and non-perturbative effects in matrix models. JHEP 1010, 004 (2010). arXiv:1002.3846 [hep-th]","DOI":"10.1007\/JHEP10(2010)004"},{"key":"2028_CR15","unstructured":"Aniceto, I., Schiappa, R., Vonk, M.: The resurgence of instantons in string theory. Commun. Number Theor. Phys. 6, 339 (2012). arXiv:1106.5922 [hep-th]"},{"key":"2028_CR16","unstructured":"Mari\u00f1o, M.: Lectures on Non-Perturbative Effects in Large N Gauge Theories, Matrix Models and Strings. arXiv:1206.6272 [hep-th]"},{"key":"2028_CR17","doi-asserted-by":"crossref","first-page":"507","DOI":"10.1016\/0550-3213(91)90202-9","volume":"B348","author":"F. David","year":"1991","unstructured":"David F.: Phases of the large N matrix model and nonperturbative effects in 2d gravity. Nucl. Phys. B348, 507 (1991)","journal-title":"Nucl. Phys."},{"key":"2028_CR18","doi-asserted-by":"crossref","unstructured":"David, F.: Nonperturbative effects in matrix models and vacua of two-dimensional gravity. Phys. Lett. B302, 403 (1993). arXiv:hep-th\/9212106","DOI":"10.1016\/0370-2693(93)90417-G"},{"key":"2028_CR19","unstructured":"Edgar, G.A.: Transseries for beginners. Real Anal. Exchange 35, 253 (2009). arXiv:0801.4877 [math.RA]"},{"key":"2028_CR20","unstructured":"Garoufalidis, S., Mari\u00f1o, M.: Universality and asymptotics of graph counting problems in non\u2013orientable surfaces. J. Comb. Theor. A117, 715 (2010). arXiv:0812.1195 [math.CO]"},{"key":"2028_CR21","doi-asserted-by":"crossref","first-page":"201","DOI":"10.5802\/aif.1327","volume":"43","author":"B. Candelpergher","year":"1993","unstructured":"Candelpergher B., Nosmas J.C., Pham F.: Premiers Pas en Calcul \u00c9tranger. Ann. Inst. Fourier 43, 201 (1993)","journal-title":"Ann. Inst. Fourier"},{"key":"2028_CR22","first-page":"131","volume":"18","author":"T.M. Seara","year":"2003","unstructured":"Seara T.M., Sauzin D.: Resumaci\u00f3 de Borel i Teoria de la Ressurg\u00e8ncia. Butl. Soc. Catalana Mat. 18, 131 (2003)","journal-title":"Butl. Soc. Catalana Mat."},{"key":"2028_CR23","first-page":"141","volume":"310","author":"\u00c9. Delabaere","year":"1990","unstructured":"Delabaere \u00c9., Dillinger H., Pham F.: D\u00e9veloppements Semi-Classiques Exacts des Niveaux d\u2019\u00c9nergie d\u2019un Oscillateur \u00e0 Une Dimension. C. R. Acad. Sci. Paris 310, 141 (1990)","journal-title":"C. R. Acad. Sci. Paris"},{"key":"2028_CR24","doi-asserted-by":"crossref","first-page":"1509","DOI":"10.5802\/aif.1381","volume":"43","author":"A. Voros","year":"1993","unstructured":"Voros A.: R\u00e9surgence quantique. Ann. Inst. Fourier 43, 1509 (1993)","journal-title":"Ann. Inst. Fourier"},{"key":"2028_CR25","doi-asserted-by":"crossref","unstructured":"Jentschura, U.D., Zinn-Justin, J.: Instantons in quantum mechanics and resurgent expansions. Phys. Lett. B596, 138 (2004). arXiv:hep-ph\/0405279","DOI":"10.1016\/j.physletb.2004.06.077"},{"key":"2028_CR26","unstructured":"Stingl, M.: Field-Theory Amplitudes as Resurgent Functions. arXiv:hep-ph\/0207349"},{"key":"2028_CR27","unstructured":"Argyres, P.C., Unsal, M.: A semiclassical realization of infrared renormalons. Phys. Rev. Lett. 109, 121601 (2012). arXiv:1204.1661 [hep-th]"},{"key":"2028_CR28","unstructured":"Argyres, P.C., Unsal, M.: The semi-classical expansion and resurgence in gauge theories: new perturbative, instanton, bion, and renormalon effects. JHEP 1208, 063 (2012). arXiv:1206.1890 [hep-th]"},{"key":"2028_CR29","doi-asserted-by":"crossref","unstructured":"Dunne, G.V., Unsal, M.: Resurgence and trans-series in quantum field theory: the CP(N-1) model. JHEP 1211, 170 (2012). arXiv:1210.2423 [hep-th]","DOI":"10.1007\/JHEP11(2012)170"},{"key":"2028_CR30","doi-asserted-by":"crossref","unstructured":"Dunne, G.V., Unsal, M.: Continuity and resurgence: towards a continuum definition of the CP(N-1) model. Phys. Rev. D87, 025015 (2013). arXiv:1210.3646 [hep-th]","DOI":"10.1103\/PhysRevD.87.025015"},{"key":"2028_CR31","unstructured":"Ferrante, D.D., Guralnik, G.S., Guralnik, Z., Pehlevan, C.: Complex Path Integrals and the Space of Theories. arXiv:1301.4233 [hep-th]"},{"key":"2028_CR32","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1007\/BF01614153","volume":"59","author":"E. Br\u00e9zin","year":"1978","unstructured":"Br\u00e9zin E., Itzykson C., Parisi G., Zuber J.B.: Planar diagrams. Commun. Math. Phys. 59, 35 (1978)","journal-title":"Commun. Math. Phys."},{"key":"2028_CR33","unstructured":"Dijkgraaf, R., Vafa, C.: Matrix models, topological strings, and supersymmetric gauge theories. Nucl. Phys. B644, 3 (2002). arXiv:hep-th\/0206255"},{"key":"2028_CR34","doi-asserted-by":"crossref","unstructured":"Dijkgraaf, R., Vafa, C.: On geometry and matrix models. Nucl. Phys. B644, 21 (2002). arXiv:hep-th\/0207106","DOI":"10.1016\/S0550-3213(02)00764-2"},{"key":"2028_CR35","doi-asserted-by":"crossref","unstructured":"Eynard, B., Mari\u00f1o, M., Orantin, N.: Holomorphic anomaly and matrix models. JHEP 0706, 058 (2007). arXiv:hep-th\/0702110","DOI":"10.1088\/1126-6708\/2007\/06\/058"},{"key":"2028_CR36","unstructured":"Mari\u00f1o, M.: Les Houches Lectures on Matrix Models and Topological Strings. arXiv:hep-th\/0410165"},{"key":"2028_CR37","doi-asserted-by":"crossref","unstructured":"Bonnet, G., David, F., Eynard, B.: Breakdown of universality in multicut matrix models. J. Phys. A33, 6739 (2000). arXiv:cond-mat\/0003324","DOI":"10.1088\/0305-4470\/33\/38\/307"},{"key":"2028_CR38","unstructured":"Ambj\u00f8rn, J., Chekhov, L., Kristjansen, C.F., Makeenko, Yu.: Matrix model calculations beyond the spherical limit. Nucl. Phys. B404, 127 (1993) (erratum-ibid B449, 681, 1995). arXiv:hep-th\/9302014"},{"key":"2028_CR39","unstructured":"Eynard, B., Orantin, N.: Invariants of algebraic curves and topological expansion. Commun. Number Theor. Phys. 1, 347 (2007). arXiv:math-ph\/0702045"},{"key":"2028_CR40","unstructured":"Eynard, B., Orantin, N.: Algebraic Methods in Random Matrices and Enumerative Geometry. arXiv:0811.3531 [math-ph]"},{"key":"2028_CR41","unstructured":"Eynard, B.: Large N expansion of convergent matrix integrals, holomorphic anomalies, and background independence. JHEP 0903, 003 (2009). arXiv:0802.1788 [math-ph]"},{"key":"2028_CR42","doi-asserted-by":"crossref","unstructured":"Akemann, G.: Higher genus correlators for the Hermitian matrix model with multiple cuts. Nucl. Phys. B482, 403 (1996). arXiv:hep-th\/9606004","DOI":"10.1016\/S0550-3213(96)00542-1"},{"key":"2028_CR43","doi-asserted-by":"crossref","unstructured":"Ambj\u00f8rn, J., Akemann, G.: New universal spectral correlators. J. Phys. A29, L555 (1996). arXiv:cond-mat\/9606129","DOI":"10.1088\/0305-4470\/29\/22\/001"},{"key":"2028_CR44","doi-asserted-by":"crossref","first-page":"609","DOI":"10.1016\/S0550-3213(97)00561-0","volume":"B504","author":"N. Deo","year":"1997","unstructured":"Deo N.: Orthogonal polynomials and exact correlation functions for two cut random matrix models. Nucl. Phys. B504, 609 (1997)","journal-title":"Nucl. Phys."},{"key":"2028_CR45","doi-asserted-by":"crossref","first-page":"6604","DOI":"10.1103\/PhysRevE.57.6604","volume":"E57","author":"E. Kanzieper","year":"1998","unstructured":"Kanzieper E., Freilikher V.: Two-band random matrices. Phys. Rev. E57, 6604 (1998)","journal-title":"Phys. Rev."},{"key":"2028_CR46","doi-asserted-by":"crossref","unstructured":"Br\u00e9zin, E., Deo, N.: Correlations and symmetry breaking in gapped matrix models. Phys. Rev. E59, 3901 (1999). arXiv:cond-mat\/9805096","DOI":"10.1103\/PhysRevE.59.3901"},{"key":"2028_CR47","doi-asserted-by":"crossref","first-page":"185","DOI":"10.2307\/121101","volume":"150","author":"P. Bleher","year":"1999","unstructured":"Bleher P., Its A.: Semiclassical asymptotics of orthogonal polynomials, Riemann\u2013Hilbert problem, and universality in the matrix model. Ann. Math. 150, 185 (1999)","journal-title":"Ann. Math."},{"key":"2028_CR48","unstructured":"Alday, L.F., Gaiotto, D., Tachikawa, Y.: Liouville correlation functions from four-dimensional gauge theories. Lett. Math. Phys. 91, 167 (2010). arXiv:0906.3219 [hep-th]"},{"key":"2028_CR49","doi-asserted-by":"crossref","first-page":"381","DOI":"10.1016\/0370-2693(90)90333-2","volume":"B244","author":"M.R. Douglas","year":"1990","unstructured":"Douglas M.R., Seiberg N., Shenker S.H.: Flow and instability in quantum gravity. Phys. Lett. B244, 381 (1990)","journal-title":"Phys. Lett."},{"key":"2028_CR50","doi-asserted-by":"crossref","unstructured":"Klebanov, I.R., Maldacena, J.M., Seiberg, N.: D-brane decay in two-dimensional string theory. JHEP 0307, 045 (2003). arXiv:hep-th\/0305159","DOI":"10.1088\/1126-6708\/2003\/07\/045"},{"key":"2028_CR51","unstructured":"Seiberg, N., Shih, D.: Branes, rings and matrix models in minimal (super)string theory. JHEP 0402, 021 (2004). arXiv:hep-th\/0312170"},{"key":"2028_CR52","doi-asserted-by":"crossref","unstructured":"Seiberg, N., Shih, D.: Flux vacua and branes of the minimal superstring. JHEP 0501, 055 (2005). arXiv:hep-th\/0412315","DOI":"10.1088\/1126-6708\/2005\/01\/055"},{"key":"2028_CR53","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1002\/cpa.3160480304","volume":"48","author":"P.A. Deift","year":"1995","unstructured":"Deift P.A., Zhou X.: Asymptotics for the Painlev\u00e9 II equation. Commun. Pure Appl. Math. 48, 277 (1995)","journal-title":"Commun. Pure Appl. Math."},{"key":"2028_CR54","doi-asserted-by":"crossref","unstructured":"Kawai, H., Kuroki, T., Matsuo, Y.: Universality of nonperturbative effect in type 0 string theory. Nucl. Phys. B711, 253 (2005). arXiv:hep-th\/0412004","DOI":"10.1016\/j.nuclphysb.2005.01.002"},{"key":"2028_CR55","unstructured":"Di Francesco, P., Ginsparg, P.H., Zinn-Justin, J.: 2d gravity and random matrices. Phys. Rep. 254, 1 (1995). arXiv:hep-th\/9306153"},{"key":"2028_CR56","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1016\/0196-8858(80)90008-1","volume":"1","author":"D. Bessis","year":"1980","unstructured":"Bessis D., Itzykson C., Zuber J.B.: Quantum field theory techniques in graphical enumeration. Adv. Appl. Math. 1, 109 (1980)","journal-title":"Adv. Appl. Math."},{"key":"2028_CR57","doi-asserted-by":"crossref","first-page":"2335","DOI":"10.1142\/S0217751X92001046","volume":"A7","author":"O. Lechtenfeld","year":"1992","unstructured":"Lechtenfeld O.: On eigenvalue tunneling in matrix models. Int. J. Mod. Phys. A7, 2335 (1992)","journal-title":"Int. J. Mod. Phys."},{"key":"2028_CR58","unstructured":"Wolfram functions web-site. http:\/\/functions.wolfram.com\/EllipticIntegrals\/ , http:\/\/functions.wolfram.com\/EllipticFunctions\/ . Accessed 04 Feb 2013"},{"key":"2028_CR59","first-page":"1","volume":"A21","author":"L. Molinari","year":"1988","unstructured":"Molinari L.: Phase structure of matrix models through orthogonal polynomials. J. Phys. A21, 1 (1988)","journal-title":"J. Phys."},{"key":"2028_CR60","first-page":"4105","volume":"D42","author":"K. Demeterfi","year":"1990","unstructured":"Demeterfi K., Deo N., Jain S., Tan C.I.: Multiband structure and critical behavior of matrix models. Phys. Rev. D42, 4105 (1990)","journal-title":"Phys. Rev."},{"key":"2028_CR61","doi-asserted-by":"crossref","first-page":"260","DOI":"10.1016\/0370-2693(91)90325-K","volume":"B261","author":"J. Jurkiewicz","year":"1991","unstructured":"Jurkiewicz J.: Chaotic behavior in one matrix models. Phys. Lett. B261, 260 (1991)","journal-title":"Phys. Lett."},{"key":"2028_CR62","doi-asserted-by":"crossref","first-page":"1491","DOI":"10.1142\/S0217751X9200065X","volume":"A7","author":"D. S\u00e9n\u00e9chal","year":"1992","unstructured":"S\u00e9n\u00e9chal D.: Chaos in the Hermitian one matrix model. Int. J. Mod. Phys. A7, 1491 (1992)","journal-title":"Int. J. Mod. Phys."},{"key":"2028_CR63","doi-asserted-by":"crossref","unstructured":"Brower, R.C., Deo, N., Jain, S., Tan, C.I.: Symmetry breaking in the double-well Hermitian matrix models. Nucl. Phys. B405, 166 (1993). arXiv:hep-th\/9212127","DOI":"10.1016\/0550-3213(93)90430-W"},{"key":"2028_CR64","unstructured":"Bertola, M., Mo, M.Y.: Commuting difference operators, spinor bundles and the asymptotics of orthogonal polynomials with respect to varying complex weights. Adv. Math. 220, 154 (2009). arXiv:math-ph\/0605043"},{"key":"2028_CR65","unstructured":"Bertola, M.: Boutroux curves with external field: equilibrium measures without a minimization problem. Anal. Math. Phys. 1, 167 (2011). arXiv:0705.3062 [nlin.SI]"},{"key":"2028_CR66","unstructured":"Bertola, M., Tovbis, A.: Asymptotics of Orthogonal Polynomials with Complex Varying Quartic Weight: Global Structure, Critical Point Behaviour and the First Painlev\u00e9 Equation. arXiv:1108.0321 [nlin.SI]"},{"key":"2028_CR67","doi-asserted-by":"crossref","first-page":"322","DOI":"10.1016\/0370-2693(91)91900-G","volume":"B257","author":"C. Crnkovi\u0107","year":"1991","unstructured":"Crnkovi\u0107 C., Moore G.W.: Multicritical multicut matrix models. Phys. Lett. B257, 322 (1991)","journal-title":"Phys. Lett."},{"key":"2028_CR68","unstructured":"Mari\u00f1o, M., Putrov, P.:Multi-Instantons in Large N Matrix Quantum Mechanics. arXiv:0911.3076 [hep-th]"},{"key":"2028_CR69","unstructured":"Schiappa, R., Wyllard, N.: An A r threesome: matrix models, 2d CFTs and 4d $${{\\mathcal{N}}=2}$$ N = 2 gauge theories. J. Math. Phys. 51, 082304 (2010). arXiv:0911.5337 [hep-th]"},{"key":"2028_CR70","doi-asserted-by":"crossref","first-page":"35","DOI":"10.4310\/jdg\/1214441648","volume":"27","author":"R.C. Penner","year":"1988","unstructured":"Penner R.C.: Perturbative series and the moduli space of Riemann surfaces. J. Differ. Geom. 27, 35 (1988)","journal-title":"J. Differ. Geom."},{"key":"2028_CR71","doi-asserted-by":"crossref","first-page":"1665","DOI":"10.1142\/S0217732391001809","volume":"A6","author":"S. Chaudhuri","year":"1991","unstructured":"Chaudhuri S., Dykstra H., Lykken J.D.: The Penner matrix model and c\u00a0=\u00a01 strings. Mod. Phys. Lett. A6, 1665 (1991)","journal-title":"Mod. Phys. Lett."},{"key":"2028_CR72","doi-asserted-by":"crossref","unstructured":"Ambj\u00f8rn, J., Kristjansen, C.F., Makeenko, Yu.: Generalized Penner models to all genera. Phys. Rev. D50, 5193 (1994). arXiv:hep-th\/9403024","DOI":"10.1103\/PhysRevD.50.5193"},{"key":"2028_CR73","doi-asserted-by":"crossref","unstructured":"Wyllard, N.: A N-1 conformal Toda field theory correlation functions from conformal $${\\mathcal{N}=2}$$ N = 2 SU(N) Quiver gauge theories. JHEP 0911, 002 (2009). arXiv:0907.2189 [hep-th]","DOI":"10.1088\/1126-6708\/2009\/11\/002"},{"key":"2028_CR74","unstructured":"Dijkgraaf, R., Vafa, C.: Toda Theories, Matrix Models, Topological Strings, and $${\\mathcal{N}=2}$$ N = 2 Gauge Systems. arXiv:0909.2453 [hep-th]"},{"key":"2028_CR75","unstructured":"Kostov, I.K.: Conformal Field Theory Techniques in Random Matrix Models. arXiv:hep-th\/9907060"},{"key":"2028_CR76","doi-asserted-by":"crossref","unstructured":"Kostov, I.K.: Matrix models as conformal field theories. In: Les Houches 2004: Applications of Random Matrices in Physics, p. 459 (2004)","DOI":"10.1007\/1-4020-4531-X_12"},{"key":"2028_CR77","doi-asserted-by":"crossref","unstructured":"Dunkl, C.F., Xu, Y.: Orthogonal polynomials of several variables. Encycl. Math. Appl. 81 (2001) (Cambridge University Press)","DOI":"10.1017\/CBO9780511565717"},{"key":"2028_CR78","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1016\/S0377-0427(00)00643-9","volume":"133","author":"S. Belmehdi","year":"2001","unstructured":"Belmehdi S.: Generalized Gegenbauer orthogonal polynomials. J. Comput. Appl. Math. 133, 195 (2001)","journal-title":"J. Comput. Appl. Math."},{"key":"2028_CR79","doi-asserted-by":"crossref","first-page":"715","DOI":"10.1080\/10652460701445666","volume":"18","author":"B. Bouras","year":"2007","unstructured":"Bouras B.: Generalized Jacobi orthogonal polynomials. Integral Transf. Spec. Funct. 18, 715 (2007)","journal-title":"Integral Transf. Spec. Funct."},{"key":"2028_CR80","unstructured":"Klebanov, I.R., Maldacena, J.M., Seiberg, N.: Unitary and complex matrix models as 1d type 0 strings. Commun. Math. Phys. 252, 275 (2004). arXiv:hep-th\/0309168"},{"key":"2028_CR81","doi-asserted-by":"crossref","unstructured":"Alexandrov, S.Yu., Kazakov, V.A., Kutasov, D.: Nonperturbative effects in matrix models and D-branes. JHEP 0309, 057 (2003). arXiv:hep-th\/0306177","DOI":"10.1088\/1126-6708\/2003\/09\/057"},{"key":"2028_CR82","doi-asserted-by":"crossref","unstructured":"Maldacena, J.M., Moore, G.W., Seiberg, N., Shih, D.: Exact vs. semiclassical target space of the minimal string. JHEP 0410, 020 (2004). arXiv:hep-th\/0408039","DOI":"10.1088\/1126-6708\/2004\/10\/020"},{"key":"2028_CR83","doi-asserted-by":"crossref","unstructured":"Chan, C.-T., Irie, H., Yeh, C.-H.: Analytic study for the string theory landscapes via matrix models. Phys. Rev. D86, 126001 (2012). arXiv:1206.2351 [hep-th]","DOI":"10.1103\/PhysRevD.86.126001"},{"key":"2028_CR84","doi-asserted-by":"crossref","unstructured":"Chan, C.-T., Irie, H., Yeh, C.-H.: Stokes phenomena and non-perturbative completion in the multi-cut two-matrix models. Nucl. Phys. B854, 67 (2012). arXiv:1011.5745 [hep-th]","DOI":"10.1016\/j.nuclphysb.2011.08.021"},{"key":"2028_CR85","doi-asserted-by":"crossref","unstructured":"Cheng, M.C.N., Dijkgraaf, R., Vafa, C.: Non-perturbative topological strings and conformal blocks. JHEP 1109, 022 (2011). arXiv:1010.4573 [hep-th]","DOI":"10.1007\/JHEP09(2011)022"},{"key":"2028_CR86","doi-asserted-by":"crossref","unstructured":"Chan, C.-T., Irie, H., Shih, S.-Y.D., Yeh, C.-H.: Macroscopic loop amplitudes in the multi-cut two-matrix models. Nucl. Phys. B828, 536 (2010). arXiv:0909.1197 [hep-th]","DOI":"10.1016\/j.nuclphysb.2009.10.017"},{"key":"2028_CR87","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1007\/BF00283254","volume":"73","author":"S.P. Hastings","year":"1980","unstructured":"Hastings S.P., McLeod J.B.: A boundary value problem associated with the second Painlev\u00e9 transcendent and the Korteweg\u2013de Vries equation. Arch. Ration. Mech. Anal. 73, 31 (1980)","journal-title":"Arch. Ration. Mech. Anal."}],"container-title":["Communications in Mathematical Physics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00220-014-2028-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00220-014-2028-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00220-014-2028-7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,9]],"date-time":"2019-08-09T08:35:35Z","timestamp":1565339735000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00220-014-2028-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,4,12]]},"references-count":87,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2014,9]]}},"alternative-id":["2028"],"URL":"https:\/\/doi.org\/10.1007\/s00220-014-2028-7","relation":{},"ISSN":["0010-3616","1432-0916"],"issn-type":[{"value":"0010-3616","type":"print"},{"value":"1432-0916","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,4,12]]}}}