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Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation vol. I [electronic resource] /edited by O. Costin, F. Fauvet, F. Menous, D. Sauzin.

by Costin, O [editor.]; Fauvet, F [editor.]; Menous, F [editor.]; Sauzin, D [editor.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Publications of the Scuola Normale Superiore, CRM Series: 12Publisher: Pisa : Edizioni della Normale, 2011.Description: 450p. online resource.ISBN: 9788876423796.Subject(s): Mathematics | Global analysis (Mathematics) | Mathematics | Analysis | Theoretical, Mathematical and Computational PhysicsDDC classification: 515 Online resources: Click here to access online
Contents:
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).
In: Springer eBooksSummary: 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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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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