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Titlebook: Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation; Proceedings of the c Ovidiu Costin,Frédéric Fauvet,David Sauzin Co

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,On the turning point problem for instanton-type solutions of Painlevé equations,ate third Painlevé equation near a double turning point and near a simple pole, respectively. An outline of the proof based on the theory of isomonodromic deformations of associated linear differential equations is also explained.
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Feynman graphs in perturbative quantum field theory,field theory. The mathematical structures — apart from being of interest in their own right — allow to derive algorithms for the computation of these graphs. Topics covered are the relations of Feynman integrals to periods, shuffle algebras and multiple polylogarithms.
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The flexion structure and dimorphy: flexion units, singulators, generators, and the enumeration of generation, manipulation, description and illumination of double symmetries, and therefore conducive to an in-depth understanding of arithmetical dimorphy. Special emphasis is laid on the monogenous algebras generated by flexion units, their special bimoulds, and the corresponding singulators. We th
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,On a Schrödinger equation with a merging pair of a simple pole and a simple turning point — Alien cre of fixed singularities of Borel transformed WKB solutions of an MPPT (= a merging pair of a simple pole and a simple turning point) Schrödinger equation by finding out its microlocal canonical form. The microlocal canonical form of the Borel transformed MPPT equation is the Borel transformed Whit
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,On the turning point problem for instanton-type solutions of Painlevé equations,] near a simple turning point, we report in this paper that Painlevé equations can be transformed to the second Painlevé equation and the most degenerate third Painlevé equation near a double turning point and near a simple pole, respectively. An outline of the proof based on the theory of isomonodr
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