Resurgence, Physics and Numbers

Frédéric Fauvet, Dominique Manchon, Stefano Marmi, David Sauzin (Herausgeber)

Buch | Softcover

384 Seiten

2017 | 1st ed. 2017
Scuola Normale Superiore (Verlag)
978-88-7642-612-4 (ISBN)

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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.

Asymptotics, ambiguities and resurgence.- Nonlinear eigenvalue problems.- Feynman diagrams and their algebraic lattices.- Invariants of identity-tangent diffeomorphisms expanded as series of multitangents and multizetas.- The resurgent approach to topological string theory.- WKB and resurgence in the Mathieu equation.- Renormalised conical zeta values.- Combinatorics of Poincaré's and Schröder's equations.

Erscheinungsdatum	13.11.2017
Reihe/Serie	CRM Series
Reihe/Serie	Publications of the Scuola Normale Superiore ; 20
Zusatzinfo	XI, 384 p.
Verlagsort	Pisa
Sprache	englisch
Maße	150 x 240 mm
Themenwelt	Mathematik / Informatik ► Mathematik
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	Algebraic combinatorics • ambiguities • asymptotics • Feynman diagrams • multiple zetavalues • nonlinear eigenvalue problems • resurgent functions
ISBN-10	88-7642-612-4 / 8876426124
ISBN-13	978-88-7642-612-4 / 9788876426124
Zustand	Neuware