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This work addresses nonperturbative effects in both matrix models and topological strings, and their relation with the large-order behavior of the 1/N expansion.
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J. Ambjorn, L. Chekhov, C.F. Kristjansen and Yu.M. Makeenko, Matrix Model Calculations Beyond the Spherical Limit
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M.J. Crescimanno and W. Taylor, Large N N Phases of Chiral QCD in Two–Dimensions
S.Y. Alexandrov, V.A. Kazakov and D. Kutasov, Nonperturbative Effects in Matrix Models and D–Branes
2003
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S. Lelli, M. Maggiore and A. Rissone, Perturbative and Nonperturbative Aspects of the Two–Dimensional String / Yang–Mills Correspondence
2003
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M. Hanada, M. Hayakawa, N. Ishibashi, H. Kawai, T. Kuroki, Y. Matsuo and T. Tada, Loops Versus Matrices: The Nonperturbative Aspects of Noncritical String
2004
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B. Eynard, Topological Expansion for the 1–Hermitian Matrix Model Correlation Functions
2004
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N. Seiberg and D. Shih, Branes, Rings and Matrix Models in Minimal (Super)String Theory
2004
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1995
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H. Shirokura, Exact Solution of 1 Matrix Model
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R.M. Corless, G.H. Gonnet, D.E.G. Hare, D.J. Jeffrey and D.E. Knuth, On the Lambert W W Function
1996
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H. Shirokura, Generating Functions in Two–Dimensional Quantum Gravity
1996
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I.K. Kostov, M. Staudacher and T. Wynter, Complex Matrix Models and Statistics of Branched Coverings of 2D Surfaces
1998
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C.M. Bender and S. Orszag, “Advanced Mathematical Methods for Scientists and Engineers”, Springer–Verlag, New York 1999
1999
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R. Pandharipande, The Toda Equation and the Gromov–Witten Theory of the Riemann Sphere
2000
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2004
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V.A. Kazakov and I.K. Kostov, Instantons in Non–Critical Strings from the Two–Matrix Model
2004
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N. Ishibashi and A. Yamaguchi, On the Chemical Potential of D–Instantons in c = 0 c=0 Noncritical String Theory
2005
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R. de Mello Koch, A. Jevicki and J.P. Rodrigues, Instantons in c = 0 c=0 CSFT
2005
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M. Aganagic, H. Ooguri, N. Saulina and C. Vafa, Black Holes, q–Deformed 2D Yang–Mills, and Nonperturbative Topological Strings
2005
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M. Aganagic, A. Klemm, M. Mariño and C. Vafa, The Topological Vertex
2005
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N. Ishibashi, T. Kuroki and A. Yamaguchi, Universality of Nonperturbative Effects in c < 1 c<1 Noncritical String Theory
2005
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A. Sato and A. Tsuchiya, ZZ Brane Amplitudes from Matrix Models
2005
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R. de Mello Koch, A. Jevicki and S. Ramgoolam, On Exponential Corrections to the 1 / N 1/N Expansion in Two–Dimensional Yang–Mills Theory
2005
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L. Chekhov and B. Eynard, Hermitean Matrix Model Free Energy: Feynman Graph Technique for All Genera
2006
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R. Dijkgraaf, R. Gopakumar, H. Ooguri and C. Vafa, Baby Universes in String Theory
2006
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N. Caporaso, L. Griguolo, M. Mariño, S. Pasquetti and D. Seminara, Phase Transitions, Double–Scaling Limit, and Topological Strings
2007
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2007
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