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

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Abstract

We study asymptotics of the partition function ZN 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 logZN in powers of N2.

Keywords

Asymptotic expansion
Partition function
Laguerre-type
Riemann–Hilbert approach

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