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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.