热带椭圆曲线的超离散QRT映射
An Ultradiscrete QRT mapping from Tropical Elliptic Curves
摘要：
最近，热带几何领域引入了与热带椭圆曲线相关的热带椭圆群律的概念。这就产生了热带QRT映射的概念。我们计算明确的热带双有理表达式，定义热带QRT映射的一些任意的参数集。我们认为这是一个新的可积超离散系统。这也导致了一个新的概念，热带椭圆函数，不同的超离散椭圆函数。
英文摘要：
Recently 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
