Asymptotics in dynamics, geometry and PDEs : generalized Borel summation

Author(s)

• Costin, O. (Ovidiu)
• Fauvet, F. (Frédéric)
• Menous, F. (Frédéric)
• Sauzin, D. (David)

Bibliographic Information

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

Note

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

Contents of Works

• 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

Description and Table of Contents

Volume

v. 1 ISBN 9788876423741

Description

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.

Table of 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 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).

Volume

v. 2 ISBN 9788876423765

Description

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.

by "Nielsen BookData"

Details

• NCID: BB0550580X
• ISBN:
  • 9788876423741
  • 9788876423765
• Country Code: it
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: [S.l.],Pisa
• Pages/Volumes: 2 v.
• Size: 24 cm
• Parent Bibliography ID:
  • BB03362552