Abstract
We study the resurgence structure of a formal normalization of a certain vector field to the normal form using “mould calculus” developed by J. Écalle. We also describe the resurgence structure of transseries solutions of a nonlinear ordinary differential equation.
Citation
Shingo Kamimoto. "Resurgent transseries, mould calculus and Connes-Kreimer Hopf algebra." Proc. Japan Acad. Ser. A Math. Sci. 99 (9) 65 - 70, November 2023. https://doi.org/10.3792/pjaa.99.013
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