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The 0-instanton solution of Painlev\'e I is a sequence $(u_{n,0})$ of complex numbers which appears universally in many enumerative problems in algebraic geometry, graph theory, matrix models and 2-dimensional quantum gravity.
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2000
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2001
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Stavros Garoufalidis and Marcos Mariño, Universality and asymptotics of graph counting problems in non-orientable surfaces , J. Combin. Theory Ser. A 117
2010
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Ovidiu Costin and Stavros Garoufalidis, Resurgence of the kontsevich-zagier power series , Ann. Inst. Fourier (2011)
2011
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Ovidiu Costin, Rodica D. Costin, and Matthew Kohut, Rigorous bounds of Stokes constants for some nonlinear ordinary differential equations at rank-one irregular singularities , Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 460
2052
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