The Stokes Phenomenon and Some Applications
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 identit...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2015 |
| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2015
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147013 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The Stokes Phenomenon and Some Applications / Marius van der Put // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 31 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862715082838900736 |
|---|---|
| author | Marius van der Put |
| author_facet | Marius van der Put |
| citation_txt | The Stokes Phenomenon and Some Applications / Marius van der Put // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 31 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2025-12-07T17:55:09Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147013 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T17:55:09Z |
| publishDate | 2015 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Marius van der Put 2019-02-12T20:34:45Z 2019-02-12T20:34:45Z 2015 The Stokes Phenomenon and Some Applications / Marius van der Put // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 31 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 14D20; 34M40; 34M55; 53D45 DOI:10.3842/SIGMA.2015.036 https://nasplib.isofts.kiev.ua/handle/123456789/147013 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Stokes Phenomenon and Some Applications Article published earlier |
| spellingShingle | The Stokes Phenomenon and Some Applications Marius van der Put |
| title | The Stokes Phenomenon and Some Applications |
| title_full | The Stokes Phenomenon and Some Applications |
| title_fullStr | The Stokes Phenomenon and Some Applications |
| title_full_unstemmed | The Stokes Phenomenon and Some Applications |
| title_short | The Stokes Phenomenon and Some Applications |
| title_sort | stokes phenomenon and some applications |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147013 |
| work_keys_str_mv | AT mariusvanderput thestokesphenomenonandsomeapplications AT mariusvanderput stokesphenomenonandsomeapplications |