Aomoto-Forrester系统映射的反演
Inversion of a mapping associated with the Aomoto-Forrester system
摘要：
本文研究了一类广义的哈密顿系统，它将具有外二次势的Calogero系统推广到任意根系。对此类课程的兴趣来自Aomoto和Forrester之前的一篇文章。我们首先考虑的一个自由度的情况下，计算Birkhoff系列附近定义的每个固定点。一般来说，对系统的分析促使Aomoto和Forrester提出的有理映射的逆的一些表达式。我们在这里导出这些逆的一些图解展开级数。
英文摘要：
This article is devoted to the study of a general class of Hamiltonian systems which extends the Calogero systems with external quadratic potential associated to any root system. The interest for such a class comes from a previous article of Aomoto and Forrester. We consider first the one-degree of freedom case and compute the Birkhoff series defined near each of its stationary points. In general, the analysis of the system motivates finding some expression for the inverses of a rational map introduced by Aomoto and Forrester. We derive here some diagrammatic expansion series for these inverses.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
