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Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation

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

  • Conference proceedings
  • © 2011

Overview

Editors:
  1. Ovidiu Costin

    1. Mathematics Department, The Ohio State University, Columbus, USA

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  2. Frédéric Fauvet

    1. Département de mathématiques - IRMA, Université de Strasbourg, Strasbourg Cedex, France

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  3. Frédéric Menous

    1. Département de mathématiques, Bât. 425, Université Paris-Sud, Orsay Cedex, France

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  4. David Sauzin

    1. CNRS Paris and Scuola Normale Superiore, Pisa, Italia

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  • 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

Part of the book series: Publications of the Scuola Normale Superiore (PSNS, volume 12.2)

Part of the book sub series: CRM Series (CRMSNS)

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Table of contents (5 papers)

  1. Front Matter

    Pages i-xvi
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  2. Feynman graphs in perturbative quantum field theory

    • Christian Bogner, Stefan Weinzierl
    Pages 1-26

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

    • Jean Ecalle
    Pages 27-211

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

    • Augustin Fruchard, Reinhard Schäfke
    Pages 213-243

  5. 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

    • Shingo Kamimoto, Takahiro Kawai, Tatsuya Koike, Yoshitsugu Takei
    Pages 245-254

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

    • Yoshitsugu Takei
    Pages 255-274

  7. Back Matter

    Pages 275-276
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Keywords

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.

Editors and Affiliations

  • Mathematics Department, The Ohio State University, Columbus, USA

    Ovidiu Costin

  • Département de mathématiques - IRMA, Université de Strasbourg, Strasbourg Cedex, France

    Frédéric Fauvet

  • Département de mathématiques, Bât. 425, Université Paris-Sud, Orsay Cedex, France

    Frédéric Menous

  • CNRS Paris and Scuola Normale Superiore, Pisa, Italia

    David Sauzin

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: Publications of the Scuola Normale Superiore

  • DOI: https://doi.org/10.1007/978-88-7642-377-2

  • Publisher: Edizioni della Normale Pisa

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Scuola Normale Superiore Pisa 2011

  • Softcover ISBN: 978-88-7642-376-5Published: 07 September 2011

  • eBook ISBN: 978-88-7642-377-2Published: 21 February 2012

  • Series ISSN: 2239-1460

  • Series E-ISSN: 2532-1668

  • Edition Number: 1

  • Number of Pages: 274

  • Topics: Analysis, Theoretical, Mathematical and Computational Physics

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