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Birkhäuser - Birkhäuser Mathematics - Scuola Normale Superiore | Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation - Proceedings of the conference

Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation

Proceedings of the conference held in CRM Pisa, 12-16 October 2009, Vol. I

Costin, O., Fauvet, F., Menous, F., Sauzin, D. (Eds.)

1st Edition., 450p.

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  • 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, combinatorial Hopf algebras
  • Contributions by leading experts in these fields

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.

Content Level » Research

Keywords » Mathematical physics - knot theory - local dynamics - mould calculus

Related subjects » Scuola Normale Superiore

Table of contents 

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).

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