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Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation vol. I

by Costin, O.
Authors: Fauvet, F.%editor. | Menous, F.%editor. | Sauzin, D.%editor. | SpringerLink (Online service) Series: Publications of the Scuola Normale Superiore, CRM Series ; . 12 Physical details: 450p. online resource. ISBN: 8876423796 Subject(s): Mathematics. | Global analysis (Mathematics). | Mathematics. | Analysis. | Theoretical, Mathematical and Computational Physics.
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C. M. Bender, D. W. Hook, K. S. Kooner: Complex Elliptic Pendulum -- F. Bracci: Parabolic attitude -- J. Ecalle, S. Sharma: Power series with sum-product Taylor coefficients and their resurgence algebra -- J. Raissy: Brjuno conditions for linearization in presence of resonance -- J.-Y. Thibon: Noncommutative symmetric functions and combinatorial Hopf algebras -- C. Bogner, S. Weinzierl: Feynman graphs in perturbative quantum field theory -- A. J. Corcho, F. Linares, C. Matheus: Multilinear estimates for the 2D and 3D Zakharov-Rubenchik systems -- J. Ecalle: The flexion structure and dimorphy: flexion units, singulators, generators, and the enumeration of multizeta irreducible -- J. Ecalle: (title to follow) -- S. Kamimoto, T. Kawai, T. Koike, Y. Takei: On a Schrödinger equation with a merging pair of a simple pole and a simple turning point – Alien calculus of WKB solutions through microlocal analysis -- R. Schäfke: (title to follow).

These are the proceedings of a one-week international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with - mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis, - local dynamics: parabolic systems, small denominator questions, - new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values, - a new family of resurgent functions related to knot theory.

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