From Polygons to Ultradiscrete Painlevé Equations
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
From Polygons to Ultradiscrete Painlevé Equations
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| Creator |
Ormerod, C.M.
Yamada, Y. |
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| Description |
The rays of tropical genus one curves are constrained in a way that defines a bounded polygon. When we relax this constraint, the resulting curves do not close, giving rise to a system of spiraling polygons. The piecewise linear transformations that preserve the forms of those rays form tropical rational presentations of groups of affine Weyl type. We present a selection of spiraling polygons with three to eleven sides whose groups of piecewise linear transformations coincide with the Bäcklund transformations and the evolution equations for the ultradiscrete Painlevé equations.
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| Date |
2019-02-13T17:08:06Z
2019-02-13T17:08:06Z 2015 |
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| Type |
Article
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| Identifier |
From Polygons to Ultradiscrete Painlevé Equations / C.M. Ormerod, Y. Yamada // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 54 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 14T05; 14H70; 39A13 DOI:10.3842/SIGMA.2015.056 http://dspace.nbuv.gov.ua/handle/123456789/147126 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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