Discrete Painlev 'e Equations
Discrete Painlev 'e Equations
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DOI：
10.1090/noti2091
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发表时间：
2019-12
影响因子：
--
通讯作者：
N. Joshi
中科院分区：
文献类型：
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作者：
N. Joshi
这篇为《美国数学会通知》撰写的说明性文章概述了作为离散 Painleve 方程解而产生的超越函数，该方程在过去二十年中的发展是丰富而动态的。这些方程出现在许多观点的中心：随机矩阵理论、代数、代数几何、动力系统和超越函数理论。本文的目的是揭示这种融合以及现代的观点。
This expository article written for the Notices of the American Mathematical Society provides an overview of transcendental functions arising as solutions of the discrete Painleve equations, for which the developments of the last two decades have been rich and dynamic. These equations arise at the center of many viewpoints: random matrix theory, algebra, algebraic geometry, dynamical systems and the theory of transcendental functions. The purpose of this article is to reveal this confluence and modern perspectives on it.