Costin O., Fauvet F., Menous F., Sauzin D. (eds.) Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation, vol. 1

Pisa: Edizioni della Normale, 2011. — 276 p.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.Introductionx
Authors’ affiliations
Complex elliptic pendulum
Parabolic attitude
Power series with sum-product Taylor coefficients and their resurgence algebra
Brjuno conditions for linearization in presence of resonances
Noncommutative symmetric functions and combinatorial Hopf algebras