Asymptotics in dynamics, geometry and PDEs : generalized borel summation: Proceedings of the Conference held in CRM Pisa, 12-16 October 2009

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. 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, combinatorialHopf algebras. Contributions by leading experts in these fields. INDICE: 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).

• ISBN: 978-88-7642-374-1
• Editorial: Edizioni della Normale
• Encuadernacion: Rústica
• Páginas: 450
• Fecha Publicación: 07/01/2011
• Nº Volúmenes: 1
• Idioma: Inglés