随机矩阵与量子混沌。
Random matrices and quantum chaos.
作者信息
Kriecherbauer T, Marklof J, Soshnikov A
机构信息
Mathematisches Institut, Ludwig-Maximilians-Universität, Theresienstrasse 39, D-80333 Munich, Germany.
出版信息
Proc Natl Acad Sci U S A. 2001 Sep 11;98(19):10531-2. doi: 10.1073/pnas.191366198.
Abstract
The theory of random matrices has far-reaching applications in many different areas of mathematics and physics. In this note, we briefly describe the state of the theory and two of the perhaps most surprising appearances of random matrices, namely in the theory of quantum chaos and in the theory of prime numbers.
摘要
随机矩阵理论在数学和物理的许多不同领域都有深远的应用。在本笔记中，我们简要描述该理论的现状以及随机矩阵可能最令人惊讶的两种出现情况，即在量子混沌理论和素数理论中。
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