欧氏平面分支覆盖的开散射道
On Open Scattering Channels for a Branched Covering of the Euclidean Plane
摘要:
我们研究了一个简单的几何模型中的两个散射通道的相互作用,包括在一个双覆盖的平面与两个分支点,配备了欧几里得度量。我们表明,散射通道是开放的意义上的arXiv:1202.0333,这个属性是稳定的适当扰动下的度量。
英文摘要:
We study the interaction of two scattering channels for a simple geometric model consisting in a double covering of the plane with two branch points, equipped with the Euclidean metric. We show that the scattering channels are open in the sense of arXiv:1202.0333 and that this property is stable under suitable perturbations of the metric.
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