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On global aspects of exact WKB analysis of operators admitting infinitely many phases. (English) Zbl 1087.34064
Costin, O. (ed.) et al., Analyzable functions and applications. International workshop, Edinburgh, UK, June 17–21, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3419-3/pbk). Contemporary Mathematics 373, 11-47 (2005).
The paper is devoted to the case-study of the Stokes geometry in the large for some concrete examples of WKB-type operators admitting infinitely many phases. The focus lies on virtual turning points and new Stokes curves emanating from them. Some computer-assisted study of the configuration of the steepest descent paths is employed to show that the introduction of new Stokes curves is reasonable and appropriate to obtain the Stokes geometry.
For the entire collection see [Zbl 1063.00011].

34M60 Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent)