论文标题

物理复活的外推

Physical Resurgent Extrapolation

论文作者

Costin, Ovidiu, Dunne, Gerald V.

论文摘要

物理功能的扩展受其奇异性的控制,它们具有特殊的结构,因为它们本身是物理,对应于激体,苛性剂或鞍形构型。复兴的渐近学从数学上正式化了这一想法,并导致更强大的外推方法从有限数量的扩展术语中提取物理信息,包括精确解码非扰动效应。

Expansions of physical functions are controlled by their singularities, which have special structure because they themselves are physical, corresponding to instantons, caustics or saddle configurations. Resurgent asymptotics formalizes this idea mathematically, and leads to significantly more powerful extrapolation methods to extract physical information from a finite number of terms of an expansion, including precise decoding of non-perturbative effects.

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