Resurgence, Physics and Numbers

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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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. 

• resurgent functions
• multiple zetavalues
• asymptotics
• ambiguities
• nonlinear eigenvalue problems
• Feynman diagrams
• algebraic combinatorics

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