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CRM Series

Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation

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

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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  • ISBN 978-88-7642-379-6
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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)

  • Complex elliptic pendulum

    Bender, Carl M. (et al.)

    Pages 1-18

  • Parabolic attitude

    Bracci, Filippo

    Pages 19-33

  • Power series with sum-product Taylor coefficients and their resurgence algebra

    Ecalle, Jean (et al.)

    Pages 35-200

  • Brjuno conditions for linearization in presence of resonances

    Raissy, Jasmin

    Pages 201-218

  • Noncommutative symmetric functions and combinatorial Hopf algebras

    Thibon, Jean-Yves

    Pages 219-258

Buy this book

eBook $24.99
price for USA (gross)
  • ISBN 978-88-7642-379-6
  • 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 978-88-7642-374-1
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
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. I
Editors
  • Ovidiu Costin
  • Frédéric Fauvet
  • Frédéric Menous
  • David Sauzin
Series Title
CRM Series
Series Volume
12.1
Copyright
2011
Publisher
Edizioni della Normale
Copyright Holder
Springer Basel
eBook ISBN
978-88-7642-379-6
DOI
10.1007/978-88-7642-379-6
Softcover ISBN
978-88-7642-374-1
Edition Number
1
Number of Pages
450
Topics