Random matrices and enumeration of maps

Random matrices and enumeration of maps
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随机矩阵和映射枚举

DOI:
10.4171/022-3/32
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发表时间:
2006
期刊:
arXiv: Operator Algebras
影响因子:
--
通讯作者:
A. Guionnet
A. Guionnet
中科院分区:
--
文献类型:
--
作者:
A. Guionnet

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本文综述了与计数有关的随机矩阵理论的最新进展 有向连通图称为映射。特别是,我们表明,长期使用 物理学中的矩阵积分来解决这些问题,可以进行严格的讨论, 应用.本讲座是基于与E. Maurel-Segala和O. Zeitouni
We review recent developments in random matrix theory related with the enumeration of connected oriented graphs called maps. In particular, we show that the long standing use of matrix integrals in physics to tackle such issues can be made rigorous and discuss some applications. This talk is based on joint works with E. Maurel-Segala and O. Zeitouni.