2021
DOI: 10.4171/aihpd/103
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Integer moments of complex Wishart matrices and Hurwitz numbers

Abstract: Neil (2021) Integer moments of complex Wishart matrices and Hurwitz numbers. Annales De L'institut Henri Poincaré D.

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Cited by 23 publications
(43 citation statements)
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“…Therefore the results of the present work about the JUE directly imply analogous results for the LUE; these results are already known from [17,31]. See also Remark 2.9.…”
Section: Example 19supporting
confidence: 85%
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“…Therefore the results of the present work about the JUE directly imply analogous results for the LUE; these results are already known from [17,31]. See also Remark 2.9.…”
Section: Example 19supporting
confidence: 85%
“…The Hurwitz numbers corresponding to these limit functions can be identified as in Proposition 2.8 in terms of double strictly (+) or weakly (−) Hurwitz numbers, respectively. Thus, bearing in mind the scaling limit for β → ∞ of JUE correlators to the correlators of the Laguerre Unitary Ensemble of Remark 1.10, the Theorem 1.3 recovers the results of [17].…”
Section: Remark 29supporting
confidence: 73%
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“…which is the k-th Catalan number. An analogous expansion to (1.9) holds for the LUE with Laguerre parameter a = αN [13,15]. The latter of these references involves so-called double monotone Hurwitz numbers, which have both combinatorial and topological significance.…”
mentioning
confidence: 97%