Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation
Proceedings of the conference held in CRM Pisa, 12-16 October 2009, Vol. II
Editors: Costin, O., Fauvet, F., Menous, F., Sauzin, D. (Eds.)
Free Preview- A unique effort to give an account of recent achievements in modern asymptotics, including resurgence theory and mould calculus
- Applications to topics as diverse as mathematical physics, local dynamics, knot theory, combinatorial Hopf algebras
- Contributions by leading experts in these fields
Buy this book
- About this book
-
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.
- Table of contents (5 chapters)
-
-
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 Schrödinger 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 Painlevé equations
Pages 255-274
-
Table of contents (5 chapters)
Recommended for you
Bibliographic Information
- Bibliographic Information
-
- Book Title
- Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation
- Book Subtitle
- Proceedings of the conference held in CRM Pisa, 12-16 October 2009, Vol. II
- Editors
-
- Ovidiu Costin
- Frédéric Fauvet
- Frédéric Menous
- David Sauzin
- Series Title
- CRM Series
- Series Volume
- 12.2
- Copyright
- 2011
- Publisher
- Edizioni della Normale
- Copyright Holder
- Scuola Normale Superiore Pisa
- eBook ISBN
- 978-88-7642-377-2
- DOI
- 10.1007/978-88-7642-377-2
- Softcover ISBN
- 978-88-7642-376-5
- Series ISSN
- 2239-4524
- Edition Number
- 1
- Number of Pages
- 274
- Topics
