Scholarlink

<p>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.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Combinatorics of the Berezin–Karpelevich integral

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年5月14日

查看全文
  • Jonathan Novak

摘要

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.