http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation vol. I
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.
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).
edited by O. Costin, F. Fauvet, F. Menous, D. Sauzin.
Theoretical, Mathematical and Computational Physics
Publications of the Scuola Normale Superiore, CRM Series ; 12