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Resurgence, Physics and Numbers

  • Conference proceedings
  • © 2017

Overview

Editors:
  1. Frédéric Fauvet
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  2. Dominique Manchon
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  3. Stefano Marmi
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  4. David Sauzin
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Part of the book series: Publications of the Scuola Normale Superiore (PSNS, volume 20)

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

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About this book

This book is issued from a conference around resurgent functions in Physics and multiple zetavalues, which was held at the Centro di Ricerca Matematica Ennio de Giorgi in Pisa, on May 18-22, 2015. This meeting originally stemmed from the impressive upsurge of interest for Jean Ecalle's alien calculus in Physics, in the last years – a trend that has considerably developed since then. The volume contains both original research papers and surveys, by leading experts in the field, reflecting the themes that were tackled at this event:  Stokes phenomenon and resurgence, in various mathematical and physical contexts but also related constructions in algebraic combinatorics and results concerning numbers, specifically multiple zetavalues. 

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Table of contents (8 papers)

  1. Front Matter

    Pages i-xi
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  2. Asymptotics, ambiguities and resurgence

    • Inês Aniceto
    Pages 1-66

  3. Nonlinear eigenvalue problems

    • Carl M. Bender, Javad Komijani, Qing-hai Wang
    Pages 67-89

  4. Feynman diagrams and their algebraic lattices

    • Michael Borinsky, Dirk Kreimer
    Pages 91-107

  5. Invariants of identity-tangent diffeomorphisms expanded as series of multitangents and multizetas

    • Olivier Bouillot, Jean Ecalle
    Pages 109-232

  6. The resurgent approach to topological string theory

    • Ricardo Couso-Santamaría
    Pages 233-248

  7. WKB and resurgence in the Mathieu equation

    • Gerald V. Dunne, Mithat Ünsal
    Pages 249-298

  8. Renormalised conical zeta values

    • Li Guo, Sylvie Paycha, Bin Zhang
    Pages 299-327

  9. Combinatorics of Poincaré’s and Schröder’s equations

    • Frédéric Menous, Jean-Christophe Novelli, Jean-Yves Thibon
    Pages 329-378

  10. Back Matter

    Pages 379-381
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Bibliographic Information

  • Book Title: Resurgence, Physics and Numbers

  • Editors: Frédéric Fauvet, Dominique Manchon, Stefano Marmi, David Sauzin

  • Series Title: Publications of the Scuola Normale Superiore

  • DOI: https://doi.org/10.1007/978-88-7642-613-1

  • Publisher: Edizioni della Normale Pisa

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

  • Copyright Information: Scuola Normale Superiore Pisa 2017

  • Softcover ISBN: 978-88-7642-612-4Published: 07 November 2017

  • eBook ISBN: 978-88-7642-613-1Published: 17 November 2017

  • Series ISSN: 2239-1460

  • Series E-ISSN: 2532-1668

  • Edition Number: 1

  • Number of Pages: XI, 384

  • Topics: Mathematical Physics

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