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arXiv · 1304.4782

Asymptotics of the partition function of a Laguerre-type random matrix model

Yi Zhao·Lihua Cao·Dan Dai
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Abstract

We study asymptotics of the partition function $Z_N$ of a Laguerre-type random matrix model when the matrix order $N$ tends to infinity. By using the Deift-Zhou steepest descent method for Riemann-Hilbert problems, we obtain an asymptotic expansion of $\log Z_N$ in powers of $N^{-2}$.

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Yi Zhao, Lihua Cao, Dan Dai. 2013-04-17. Asymptotics of the partition function of a Laguerre-type random matrix model. https://arxiv.org/abs/1304.4782

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