CRM Series

Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation

Proceedings of the conference held in CRM Pisa, 12-16 October 2009, Vol. II

Editors: Costin, O., Fauvet, F., Menous, F., Sauzin, D. (Eds.)

  • A unique effort to give an account of recent achievements in modern asymptotics, including resurgence theory and mould calculus
  • Applications to topics as diverse as mathematical physics, local dynamics, knot theory, combinatorial Hopf algebras 
  • Contributions by leading experts in these fields
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About this book

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 (5 chapters)

  • Feynman graphs in perturbative quantum field theory

    Bogner, Christian (et al.)

    Pages 1-26

  • The flexion structure and dimorphy: flexion units, singulators, generators, and the enumeration of multizeta irreducibles

    Ecalle, Jean

    Pages 27-211

  • On the parametric resurgence for a certain singularly perturbed linear differential equation of second order

    Fruchard, Augustin (et al.)

    Pages 213-243

  • 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

    Kamimoto, Shingo (et al.)

    Pages 245-254

  • On the turning point problem for instanton-type solutions of Painlevé equations

    Takei, Yoshitsugu

    Pages 255-274

Buy this book

eBook $24.99
price for USA (gross)
  • ISBN 978-88-7642-377-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $34.95
price for USA
  • ISBN 978-88-7642-376-5
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation
Book Subtitle
Proceedings of the conference held in CRM Pisa, 12-16 October 2009, Vol. II
Editors
  • Ovidiu Costin
  • Frédéric Fauvet
  • Frédéric Menous
  • David Sauzin
Series Title
CRM Series
Series Volume
12.2
Copyright
2011
Publisher
Edizioni della Normale
Copyright Holder
Scuola Normale Superiore Pisa
eBook ISBN
978-88-7642-377-2
DOI
10.1007/978-88-7642-377-2
Softcover ISBN
978-88-7642-376-5
Edition Number
1
Number of Pages
274
Topics