An Ultradiscrete QRT mapping from Tropical Elliptic Curves

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dc.creatorOrmerod, Chris
dc.date2006-09-22
dc.date.accessioned2026-07-07T07:24:21Z
dc.date.available2026-07-07T07:24:21Z
dc.descriptionRecently the area of tropical geometry has introduced the concept of the tropical elliptic group law associated with a tropical elliptic curve. This gives rise to a notion of the tropical QRT mapping. We compute the explicit tropically birational expressions that define the tropical QRT mapping for some arbitrary set of parameters. We consider this a new integrable ultradiscrete system. This also induces a new notion of tropical elliptic functions, different to the ultradiscretized elliptic functions.
dc.description9 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0609060
dc.identifierhttp://arxiv.org/abs/math-ph/0609060
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116320
dc.subjectMathematical Physics
dc.titleAn Ultradiscrete QRT mapping from Tropical Elliptic Curves
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