Asymptotics in dynamics, geometry and PDEs : generalized Borel summation

著者

書誌事項

Asymptotics in dynamics, geometry and PDEs : generalized Borel summation

edited by O. Costin ... [et al.]

(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

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

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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関連文献: 1件中  1-1を表示

  • CRM series

    Edizioni della Normale , Scuola normale superiore

詳細情報

  • NII書誌ID(NCID)
    BB0550580X
  • ISBN
    • 9788876423741
    • 9788876423765
  • 出版国コード
    it
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    [S.l.],Pisa
  • ページ数/冊数
    2 v.
  • 大きさ
    24 cm
  • 親書誌ID
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