The Stokes phenomenon and some applications

DOI10.3842/SIGMA.2015.036zbMATH Open1316.14026arXiv1501.05205MaRDI QIDQ2353216

M. van der Put

Publication date: 8 July 2015

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Abstract: Multisummation provides a transparent description of Stokes matrices which is reviewed here together with some applications. Examples of moduli spaces for Stokes matrices are computed and discussed. A moduli space for a third Painlev'e equation is made explicit. It is shown that the monodromy identity, relating the topological monodromy and Stokes matrices, is useful for some quantum differential equations and for confluent generalized hypergeometric equations.

Full work available at URL: https://arxiv.org/abs/1501.05205

File on IPFS (Hint: this is only the Hash - if you get a timeout, this file is not available on our server.)

zbMATH Keywords

Could not fetch data.

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Algebraic moduli problems, moduli of vector bundles (14D20) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

Related Items (5)

Stokes’s Theorem, Data, and the Polar Ice Caps ⋮ Stokes Phenomenon and Matched Asymptotic Expansions ⋮ Title not available (Why is that?) ⋮ A class of higher order turning point nonlinear singularly perturbed boundary value problem ⋮ A Simple Explanation of the Stokes Phenomenon

This page was built for publication: The Stokes phenomenon and some applications

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2353216)