Asymptotics in Dynamics, Geometry and Pdes; Generalized Borel Summation

Proceedings of the Conference Held in Crm Pisa, 12-16 October 2009, Vol. I
1. Auflage. 2011
ISBN: 978-88-7642-374-1
Verlag: Scuola Normale Superiore

Buch, Englisch, Band 12.1, 450 Seiten, Format (B × H): 157 mm x 240 mm, Gewicht: 544 g

Reihe: Publications of the Scuola Normale Superiore

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.

Zielgruppe

Research

Autoren/Hrsg.

Costin, Ovidiu

Fauvet, Frédéric

Menous, Frédéric

Sauzin, David

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis

Inhaltsverzeichnis

C. M. Bender, D. W. Hook, K. S. Kooner: Complex Elliptic Pendulum.- F. Bracci: Parabolic attitude.- J. Ecalle, S. Sharma: Power series with sum-product Taylor coefficients and their resurgence algebra.- J. Raissy: Brjuno conditions for linearization in presence of resonance.- J.-Y. Thibon: Noncommutative symmetric functions and combinatorial Hopf algebras.- C. Bogner, S. Weinzierl: Feynman graphs in perturbative quantum field theory.- A. J. Corcho, F. Linares, C. Matheus: Multilinear estimates for the 2D and 3D Zakharov-Rubenchik systems.-
J. Ecalle: The flexion structure and dimorphy: flexion units, singulators, generators, and the enumeration of multizeta irreducible.- J. Ecalle: (title to follow).- S. Kamimoto, T. Kawai, T. Koike, Y. Takei: 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.- R. Schäfke: (title to follow).