Mathematical Sciences: Asymptotics Beyond All Orders

这笔赠款是用于1991年1月在加利福尼亚州圣地亚哥举行的关于渐近展开和微扰理论的国际会议。会议的标题是超越所有阶数的渐近性，指的是一小类但意义重大的问题，在这些问题中，传统的渐近方法在展开式的任何数量级上都没有提供任何信息。这种性质的问题是不寻常的，但并非不可能：在流体力学、等离子体物理、晶体生长和量子力学中都有例子。最近，使用几种明显不同的方法，在非常不同的领域解决了几个这样的问题。不同的解决方法有什么共同之处，在很大程度上仍有待探索。这次会议的目的是召集这一新兴领域的主要参与者，深入比较他们的问题和解决办法。

This grant is for an international conference on asymptotic expansion and perturbation theory to be held in January 1991 at San Diego, CA. The title of the conference, Asymptotics Beyond All Orders, refers to a small but significant class of problems in which conventional asymptotic methods provide no information at any order of the expansion. Problems of this nature are unusual, but not impossible: examples are known in hydrodynamics, plasma physics, crystal growth, and quantum mechanics. Several of these problems in widely different fields have been solved recently, using several apparently different methods. What the different methods of solution have in common is still largely unexplored. The purpose of this conference is to convene the principal participants in this nascent field for an in-depth comparison of their problems and their methods of solution.