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Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation vol. I

  • O. Costin
  • F. Fauvet
  • F. Menous
  • D. Sauzin
Conference proceedings

Part of the Publications of the Scuola Normale Superiore book series (PSNS, volume 12)

Table of contents

  1. Front Matter
    Pages i-xiv
    PDF
  2. Complex elliptic pendulum
    Carl M. Bender, Daniel W. Hook, Karta Singh Kooner
    Pages 1-18
  3. Parabolic attitude
    Filippo Bracci
    Pages 19-33
  4. Power series with sum-product Taylor coefficients and their resurgence algebra
    Jean Ecalle, Shweta Sharma
    Pages 35-200
  5. Brjuno conditions for linearization in presence of resonances
    Jasmin Raissy
    Pages 201-218
  6. Noncommutative symmetric functions and combinatorial Hopf algebras
    Jean-Yves Thibon
    Pages 219-258
  7. Back Matter
    Pages 259-260
    PDF

About these proceedings

Introduction

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.

Keywords

Mathematical physics knot theory local dynamics mould calculus

Editors and affiliations

  • O. Costin
    • 1
  • F. Fauvet
    • 2
  • F. Menous
    • 3
  • D. Sauzin
    • 4
    • 5
  1. 1.Mathematics DepartmentThe Ohio State UniversityColumbusUSA
  2. 2.Département de mathématiques — IRMAUniversité de StrasbourgStrasbourg CedexFrance
  3. 3.Département de mathématiques, Bât. 425Université Paris-SudOrsay CedexFrance
  4. 4.CNRS ParisParis
  5. 5.Scuola Normale SuperiorePisaItalia

Bibliographic information