Asymptotics in dynamics, geometry and PDEs : generalized Borel summation
著者
書誌事項
Asymptotics in dynamics, geometry and PDEs : generalized Borel summation
(CRM series, 12)
Edizioni della Normale , Scuola normale superiore, c2011
- v. 1
- v. 2
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注記
Other editors: F. Fauvet, F. Menous, D. Sauzin
Proceedings of a one-week international conference held Oct. 12th-16th, 2009 at the Centro di ricerca matematica Ennio De Giorgi, Pisa
Includes bibliographical references
収録内容
- v. 1. Complex elliptic pendulum / Carl M. Bender ... [et al.]
- Parabolic attitude / Filippo Bracci
- Power series with sum-product Taylor coefficients and their resurgence algebra / Jean Ecalle and Shweta Sharma
- Brjuno conditions for linearization in presence of resonances / Jasmin Raissy
- Noncommutative symmetric functions and combinatorial Hopf algebras / Jean-Yves Thibon
- v. 2. Feynman graphs in perturbative quantum field theory / Christian Bogner and Stefan Weinzierl
- The flexion structure and dimorphy : flexion units, singulators, generators, and the enumeration of multizeta irreducibles / Jean Ecalle ; with computational assistance from S. Carr
- On the parametric resurgence for a certain singularly perturbed linear differential equation of second order / Augustion Fruchard and Reinhard Schäfke
- On a Schrodinger equation with a merging pair of a simple pole and a simple turning point : Alien calculus of WKB solutions through microlocal analysis / Shingo Kamimoto ... [et al.]
- On the turning point problem for instanton-type solutions of painlevé equations / Yoshitsugu Takei
内容説明・目次
- 巻冊次
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v. 1 ISBN 9788876423741
内容説明
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.
目次
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 Schroedinger equation with a merging pair of a simple pole and a simple turning point - Alien calculus of WKB solutions through microlocal analysis.- R. Schafke: (title to follow).
- 巻冊次
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v. 2 ISBN 9788876423765
内容説明
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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