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.
Reutenauer,Free Lie Algebras, London Mathematical Society Monographs, New Series, Vol
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BCH series converges locally in quasi-Banach Lie algebras with continuous brackets, yielding local Lie groups whose metrics are deformed by the p-exponent but whose algebra remains unchanged.
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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.
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Local Lie Theory in Quasi-Banach Lie Algebras: Convergence of the BCH Series and Geometric Implications
BCH series converges locally in quasi-Banach Lie algebras with continuous brackets, yielding local Lie groups whose metrics are deformed by the p-exponent but whose algebra remains unchanged.