On the Dynamics of Translated Cone Exchange Transformations

平移锥体交换变换的动力学

• 批准号: 2406096
• 金额: --
• 依托单位: UNIVERSITY OF EXETER
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2020
• 资助国家: 英国
• 起止时间: 2020 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2406096
• 关键词: Dynamics; Translated; Cone; Exchange; Transformations

Although numerical experiments (see Ashwin P., Goetz A., Peres P., Rodrigues A., (2018). Embeddings of Interval Exchange Trans-formations into Planar Piecewise Isometries, Ergodic Theory and Dynamical Systems, 1-27), support that the set ${\mathcal U(\lambda, \eta)$ should be nonempty for the parameters in consideration, it is not known whether this is true. Indeed, thisis related to one of the greatest open questions in this field of study: whether typical families of PWIs support embeddings of IETs.

虽然数值实验（见阿什温P.，Goetz A.，Peres P.，罗德里格斯A.，（2018年）。Embeddings of Interval Exchange Transformations into Planar Piecewise Isometries，Ergodic Theory and Dynamical Systems，1-27），支持集合U（\lambda，\eta）对于所考虑的参数应该是非空的，不知道这是否正确。事实上，这与该研究领域中最大的开放性问题之一有关：PWI的典型家族是否支持IRFs的嵌入。