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.
Зміст
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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