Explicit calculations in the Airy, Bessel, and Gamma models show that Lefschetz thimble wall-crossing produces the same Stokes coefficients as alien operators acting on Borel singularities.
´Ecalle,Les fonctions r´ esurgentes, Tome II: Les fonctions r´ esurgentes appliqu´ ees ` a l’it´ eration, Publications Math´ematiques d’Orsay, No
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Picard-Lefschetz theory and alien calculus: a case study
Explicit calculations in the Airy, Bessel, and Gamma models show that Lefschetz thimble wall-crossing produces the same Stokes coefficients as alien operators acting on Borel singularities.