论文标题
Berezin-Karpelevich的组合组合
Combinatorics of the Berezin-Karpelevich Integral
论文作者
论文摘要
Berezin-Karpelevich积分是对单位矩阵的双重积分，它在矩形矩阵模型中扮演Itzykson-Zuber积分的作用。我们从单调Hurwitz数字方面获得了Berezin-Karpelevich积分不可或缺的拓扑扩展，并从这种某些组合身份中获得。
The Berezin-Karpelevich integral is a double integral over unitary matrices which plays the role of the Itzykson-Zuber integral in rectangular matrix models. We obtain a topological expansion of the Berezin-Karpelevich integral in terms of monotone Hurwitz numbers, and obtain from this certain combinatorial identities.
