On the Stokes geometry of perturbed tangential Pearcey systems

DOI10.4171/PRIMS/57-3-1zbMath1495.34123OpenAlexW3207075182MaRDI QIDQ824245

Yoshitsugu Takei, Takahiro Kawai, Shinji Sasaki, Sampei Hirose

Publication date: 15 December 2021

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/prims/57-3-1

zbMATH Keywords

virtual turning pointexact steepest descent methodStokes geometrybicharacteristic curvenon-hereditary turning pointtangential Pearcey system

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

Cites Work

• On the exact WKB analysis of operators admitting infinitely many phases.
• On the exact steepest descent method: A new method for the description of Stokes curves
• New Stokes’ line in WKB theory
• Structure of cohomology groups whose coefficients are microfunction solution sheaves of systems of pseudo-differential equations withmultiple characteristics, I
• Exact WKB analysis of non-adiabatic transition probabilities for three levels
• Virtual Turning Points
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