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The computation of observables in general interacting theories, be them quantum mechanical, field, gauge or string theories, is a non-trivial problem which in many cases can only be addressed by resorting to perturbative methods.
S. Lefschetz, L’Analysis Situs et la Géométrie Algébrique
1924
Earlier work this paper cites.
F.J. Dyson, Divergence of Perturbation Theory in Quantum Electrodynamics
1952
Earlier work this paper cites.
C.N. Yang and T.D. Lee, Statistical Theory of Equations of State and Phase Transitions 1: Theory of Condensation
1952
Earlier work this paper cites.
T.D. Lee and C.N. Yang, Statistical Theory of Equations of State and Phase Transitions 2: Lattice Gas and Ising Model
1952
Earlier work this paper cites.
1954
Earlier work this paper cites.
H.J. Silverstone, J.G. Harris, J. Čížek and J. Paldus, Asymptotics of High-Order Perturbation Theory for the One-Dimensional Anharmonic Oscillator by Quasisemiclassical Methods
1965
Earlier work this paper cites.
C.M. Bender and T.T. Wu, Anharmonic Oscillator
1969
Earlier work this paper cites.
C.M. Bender and T.T. Wu, Anharmonic Oscillator 2: A Study of Perturbation Theory in Large Order
1973
Earlier work this paper cites.
B. Malgrange, Intégrales Asymptotiques et Monodromie
1974
Earlier work this paper cites.
J.L. Lavoie, T.J. Osler and R. Tremblay, Fractional Derivatives and Special Functions
1976
Earlier work this paper cites.
C.M. Bender, K. Olaussen and P.S. Wang, Numerological Analysis of the WKB Approximation in Large Order
1977
Earlier work this paper cites.
M.V. Fedoryuk, The Saddle-Point Method
1977
Earlier work this paper cites.
R. Balian, G. Parisi and A. Voros, Discrepancies from Asymptotic Series and their Relation to Complex Classical Trajectories
1978
Earlier work this paper cites.
R. Balian, G. Parisi and A. Voros, Quartic Oscillator
1978
Earlier work this paper cites.
J.C. Collins and D.E. Soper, Large Order Expansion in Perturbation Theory
1978
Earlier work this paper cites.
M. Stone and J. Reeve, Late Terms in the Asymptotic Expansion for the Energy Levels of a Periodic Potential
1978
Earlier work this paper cites.
E.B. Bogomolny, Calculation of Instanton–Anti-Instanton Contributions in Quantum Mechanics
1980
Earlier work this paper cites.
A. Voros, The Zeta Function of the Quartic Oscillator
1980
Earlier work this paper cites.
J. Zinn-Justin, Expansion Around Instantons in Quantum Mechanics
1981
Earlier work this paper cites.
J. Zinn-Justin, Perturbation Series at Large Orders in Quantum Mechanics and Field Theories: Application to the Problem of Resummation
1981
Earlier work this paper cites.
J. Zinn-Justin, Multi-Instanton Contributions in Quantum Mechanics
1981
Earlier work this paper cites.
N. Hoe, B. D’Etat, J. Grumberg, M. Caby, E. Leboucher and G. Coulaud, Stark Effect of Hydrogenic Ions
1982
Earlier work this paper cites.
J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
1983
Earlier work this paper cites.
F. Pham, Vanishing Homologies and the n n Variable Saddlepoint Method
1983
Earlier work this paper cites.
A. Voros, The Return of the Quartic Oscillator: The Complex WKB Method
1983
Earlier work this paper cites.
J. Zinn-Justin, Multi-Instanton Contributions in Quantum Mechanics 2
1983
Earlier work this paper cites.
D. Friedan, Z. Qiu and S. Shenker, Conformal Invariance, Unitarity and Critical Exponents in Two Dimensions
1984
Earlier work this paper cites.
J. Zinn-Justin, Instantons in Quantum Mechanics: Numerical Evidence for a Conjecture
1984
Earlier work this paper cites.
J. Écalle, Les Fonctions Résurgentes
1985
Earlier work this paper cites.
F. Pham, La Descente des Cols par les Onglets de Lefschetz, avec Vues sur Gauss–Manin
1985
Earlier work this paper cites.
H.J. Silverstone, JWKB Connection-Formula Problem Revisited via Borel Summation
1985
Earlier work this paper cites.
P.H. Ginsparg, Applied Conformal Field Theory
1988
Earlier work this paper cites.
D.J. Gross and V. Periwal, String Perturbation Theory Diverges
1988
Earlier work this paper cites.
M.V. Berry and C.J. Howls, Hyperasymptotics
1990
Earlier work this paper cites.
E. Brézin, E. Marinari and G. Parisi, A Nonperturbative Ambiguity Free Solution of a String Model
1990
Earlier work this paper cites.
E. Delabaere, H. Dillinger and F. Pham, Développements Semi-Classiques Exacts des Niveaux d’Énergie d’un Oscillateur à Une Dimension
1990
Earlier work this paper cites.
J.C. Le Guillou and J. Zinn-Justin (eds.), Large Order Behaviour of Perturbation Theory
1990
Earlier work this paper cites.
S.H. Shenker, The Strength of Nonperturbative Effects in String Theory
1990
Earlier work this paper cites.
M. Berry, Asymptotics, Superasymptotics, Hyperasymptotics
1991
Earlier work this paper cites.
M.V. Berry and C.J. Howls, Hyperasymptotics for Integrals with Saddles
1991
Earlier work this paper cites.
P.H. Ginsparg and J. Zinn-Justin, Large Order Behaviour of Nonperturbative Gravity
1991
Earlier work this paper cites.
B. Eynard and J. Zinn-Justin, The O ( n ) \text{O}(n) Model on a Random Surface: Critical Points and Large Order Behaviour
1992
Earlier work this paper cites.
B. Candelpergher, J.C. Nosmas and F. Pham, Premiers Pas en Calcul Étranger
1993
Earlier work this paper cites.
B. Candelpergher, J.C. Nosmas and F. Pham, Approche de la Résurgence
1993
Earlier work this paper cites.
E. Delabaere, H. Dillinger and F. Pham, Résurgence de Voros et Périodes des Courbes Hyperelliptiques
1993
Earlier work this paper cites.
B. Eynard and J. Zinn-Justin, Large Order Behaviour of 2D Gravity Coupled to d < 1 d<1 Matter
1993
Earlier work this paper cites.
C. Pisani and E.R. Smith, Lee–Yang Zeros and Stokes Phenomenon in a Model with a Wetting Transition
1993
Earlier work this paper cites.
A. Voros, Résurgence Quantique
1993
Earlier work this paper cites.
D. Kaminski, Exponentially Improved Stationary Phase Approximations for Double Integrals
1994
Earlier work this paper cites.
A. Voros, Exact Quantization Condition for Anharmonic Oscillators (in One Dimension)
1994
Earlier work this paper cites.
A. Voros, Aspects of Semiclassical Theory in the Presence of Classical Chaos
1994
Earlier work this paper cites.
O. Costin, Exponential Asymptotics, Transseries, and Generalized Borel Summation for Analytic Rank One Systems of ODE’s
1995
Earlier work this paper cites.
P. Di Francesco, P.H. Ginsparg and J. Zinn-Justin, 2D Gravity and Random Matrices
1995
Earlier work this paper cites.
J. Polchinski, Dirichlet Branes and Ramond-Ramond Charges
1995
Earlier work this paper cites.
E. Delabaere, H. Dillinger and F. Pham, Exact Semiclassical Expansions for One-Dimensional Quantum Oscillators
1997
Earlier work this paper cites.
E. Delabaere and F. Pham, Unfolding the Quartic Oscillator
1997
Earlier work this paper cites.
C.J. Howls, Hyperasymptotics for Multidimensional Integrals, Exact Remainders and the Global Connection Problem
1997
Earlier work this paper cites.
O. Costin, On Borel Summation and Stokes Phenomena for Rank-1 Nonlinear Systems of Ordinary Differential Equations
1998
Earlier work this paper cites.
C.M. Bender and S.A. Orszag, Advanced Mathematical Methods for Scientists and Engineers
1999
Earlier work this paper cites.
M. Beneke, Renormalons
1999
Earlier work this paper cites.
J.P. Boyd, The Devil’s Invention: Asymptotic, Superasymptotic and Hyperasymptotic Series
1999
Earlier work this paper cites.
E. Delabaere and F. Pham, Resurgent Methods in Semi-Classical Asymptotics
1999
Earlier work this paper cites.
A. Voros, Exact Resolution Method for General 1D Polynomial Schrödinger Equation
1999
Earlier work this paper cites.
G. Álvarez and C. Casares, Uniform Asymptotic and JWKB Expansions for Anharmonic Oscillators
2000
Earlier work this paper cites.
G. Álvarez and C. Casares, Exponentially Small Corrections in the Asymptotic Expansion of the Eigenvalues of the Cubic Anharmonic Oscillator
2000
Earlier work this paper cites.
G. Bonnet, F. David and B. Eynard, Breakdown of Universality in Multicut Matrix Models
2000
Earlier work this paper cites.
A. Voros, Exercises in Exact Quantization
2000
Earlier work this paper cites.
O. Costin and R. Costin, On the Formation of Singularities of Solutions of Nonlinear Differential Systems in Anti-Stokes Directions
2001
Earlier work this paper cites.
J. Pöschel, A Lecture on the Classical KAM Theorem
2001
Earlier work this paper cites.
G. Álvarez, C.J. Howls and H.J. Silverstone, Anharmonic Oscillator Discontinuity Formulae Up To Second-Exponentially-Small Order
2002
Earlier work this paper cites.
E. Delabaere and C.J. Howls, Global Asymptotics for Multiple Integrals with Boundaries
2002
Earlier work this paper cites.
L. Motl and A. Neitzke, Asymptotic Black Hole Quasinormal Frequencies
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Earlier work this paper cites.
T.M. Seara and D. Sauzin, Resumació de Borel i Teoria de la Ressurgència
2003
Earlier work this paper cites.
J. Zinn-Justin, From Multi-Instantons to Exact Results
2003
Earlier work this paper cites.
G. Álvarez, Langer–Cherry Derivation of the Multi-Instanton Expansion for the Symmetric Double Well
2004
Earlier work this paper cites.
V. Cardoso, J. Natário and R. Schiappa, Asymptotic Quasinormal Frequencies for Black Holes in Nonasymptotically Flat Spacetimes
2004
Earlier work this paper cites.
C.J. Howls, P.J. Langman and A.B. Olde Daalhuis, On the Higher-Order Stokes Phenomenon
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Earlier work this paper cites.
U.D. Jentschura and J. Zinn-Justin, Instantons in Quantum Mechanics and Resurgent Expansions
2004
Earlier work this paper cites.
J. Natário and R. Schiappa, On the Classification of Asymptotic Quasinormal Frequencies for d d -Dimensional Black Holes and Quantum Gravity
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A.B. Olde Daalhuis, On Higher-Order Stokes Phenomena of an Inhomogeneous Linear Ordinary Differential Equation
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T. Kawai and Y. Takei, Algebraic Analysis of Singular Perturbation Theory
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