Ebook: Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation vol. II

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.

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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.

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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.
Content:
Front Matter....Pages i-xvi
Feynman graphs in perturbative quantum field theory....Pages 1-26
The flexion structure and dimorphy: flexion units, singulators, generators, and the enumeration of multizeta irreducibles....Pages 27-211
On the parametric resurgence for a certain singularly perturbed linear differential equation of second order....Pages 213-243
On a Schr?dinger equation with a merging pair of a simple pole and a simple turning point — Alien calculus of WKB solutions through microlocal analysis....Pages 245-254
On the turning point problem for instanton-type solutions of Painlev? equations....Pages 255-274
Back Matter....Pages 275-276

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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.
Content:
Front Matter....Pages i-xvi
Feynman graphs in perturbative quantum field theory....Pages 1-26
The flexion structure and dimorphy: flexion units, singulators, generators, and the enumeration of multizeta irreducibles....Pages 27-211
On the parametric resurgence for a certain singularly perturbed linear differential equation of second order....Pages 213-243
On a Schr?dinger equation with a merging pair of a simple pole and a simple turning point — Alien calculus of WKB solutions through microlocal analysis....Pages 245-254
On the turning point problem for instanton-type solutions of Painlev? equations....Pages 255-274
Back Matter....Pages 275-276
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