Academic Journal
An Algebraic Study of Parametric Stokes Phenomena.
| Τίτλος: | An Algebraic Study of Parametric Stokes Phenomena. |
|---|---|
| Συγγραφείς: | Aniceto, Inês1,2 (AUTHOR) I.Aniceto@soton.ac.uk, Crew, Samuel2,3 (AUTHOR) |
| Πηγή: | Studies in Applied Mathematics. Jul2026, Vol. 157 Issue 1, p1-31. 31p. |
| Θεματικοί όροι: | Algebraic curves, Mathematical singularities, Mathematical complex analysis, Asymptotic expansions, Integral transforms |
| Περίληψη: | We investigate geometric aspects of co‐equational parametric resurgence, by studying physical problems whose formal asymptotic solutions give rise to Borel transforms lying on an algebraic curve. This perspective allows us to elucidate concepts unique to parametric resurgence such as singularity structures, (virtual) turning points, and the higher order Stokes phenomenon. We construct examples as solutions to Borel plane partial differential equations using an algebraic curve ansatz before turning to the general analytic structure of co‐equational resurgence problems, where we provide a systematic description of analytic continuation and Stokes constants through a Borel plane inner–outer matching procedure. [ABSTRACT FROM AUTHOR] |
| Copyright of Studies in Applied Mathematics is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
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| Items | – Name: Title Label: Title Group: Ti Data: An Algebraic Study of Parametric Stokes Phenomena. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Aniceto%2C+Inês%22">Aniceto, Inês</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> I.Aniceto@soton.ac.uk</i><br /><searchLink fieldCode="AR" term="%22Crew%2C+Samuel%22">Crew, Samuel</searchLink><relatesTo>2,3</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Studies+in+Applied+Mathematics%22">Studies in Applied Mathematics</searchLink>. Jul2026, Vol. 157 Issue 1, p1-31. 31p. – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Algebraic+curves%22">Algebraic curves</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+singularities%22">Mathematical singularities</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+complex+analysis%22">Mathematical complex analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Asymptotic+expansions%22">Asymptotic expansions</searchLink><br /><searchLink fieldCode="DE" term="%22Integral+transforms%22">Integral transforms</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We investigate geometric aspects of co‐equational parametric resurgence, by studying physical problems whose formal asymptotic solutions give rise to Borel transforms lying on an algebraic curve. This perspective allows us to elucidate concepts unique to parametric resurgence such as singularity structures, (virtual) turning points, and the higher order Stokes phenomenon. We construct examples as solutions to Borel plane partial differential equations using an algebraic curve ansatz before turning to the general analytic structure of co‐equational resurgence problems, where we provide a systematic description of analytic continuation and Stokes constants through a Borel plane inner–outer matching procedure. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Studies in Applied Mathematics is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1111/sapm.70262 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 31 StartPage: 1 Subjects: – SubjectFull: Algebraic curves Type: general – SubjectFull: Mathematical singularities Type: general – SubjectFull: Mathematical complex analysis Type: general – SubjectFull: Asymptotic expansions Type: general – SubjectFull: Integral transforms Type: general Titles: – TitleFull: An Algebraic Study of Parametric Stokes Phenomena. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Aniceto, Inês – PersonEntity: Name: NameFull: Crew, Samuel IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 07 Text: Jul2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 00222526 Numbering: – Type: volume Value: 157 – Type: issue Value: 1 Titles: – TitleFull: Studies in Applied Mathematics Type: main |
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