Noise effects on Padé approximants and conformal maps<sup>*</sup>
نویسندگان
چکیده
Abstract We analyze the properties of Padé and conformal map approximants for functions with branch points, in situation where expansion coefficients are only known finite precision or subject to noise. prove that there is a universal scaling relation between strength noise order at which breaks down. illustrate this behavior some physically relevant model test two non-trivial physical examples Riemann surface has complicated structure.
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ژورنال
عنوان ژورنال: Journal of Physics A
سال: 2022
ISSN: ['1751-8113', '1751-8121']
DOI: https://doi.org/10.1088/1751-8121/aca303