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

Y. Zhao, L. H. Cao, D. Dai

• 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 log ZN in powers of N-2.