论文标题
噪声对幻影近似和保形图的影响
Noise Effects on Pade Approximants and Conformal Maps
论文作者
论文摘要
我们分析了具有分支点的功能的胶和共形图近似值的特性，在这种情况下，膨胀系数仅以有限的精度知道或受噪声的影响。我们证明，噪声强度与弹性或保形图崩溃的膨胀顺序之间存在普遍的缩放关系。我们通过一些物理相关的模型测试功能来说明这种行为
We analyze the properties of Pade and conformal map approximants for functions with branch points, in the situation where the expansion coefficients are only known with finite precision or are subject to noise. We prove that there is a universal scaling relation between the strength of the noise and the expansion order at which Pade or the conformal map breaks down. We illustrate this behavior with some physically relevant model test functions and with two non-trivial physical examples where the relevant Riemann surface has complicated structure
