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The Stokes Phenomenon and Some Applications
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- Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
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The Stokes Phenomenon and Some Applications
Інший ID:
2010 Mathematics Subject Classification: 14D20; 34M40; 34M55; 53D45
DOI:10.3842/SIGMA.2015.036
DOI:10.3842/SIGMA.2015.036
Посилання:
The Stokes Phenomenon and Some Applications / Marius van der Put // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 31 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue on Algebraic Methods in Dynamical Systems. The full
collection is available at http://www.emis.de/journals/SIGMA/AMDS2014.html.
The author likes to thank the referees for their work and the very useful comments which led to
many improvements.
Дата:
2015
Переглядів:
532
Завантажень:
244
Анотація:
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 Painlevé 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.
