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math-ph2010★ 7 cited
Average characteristic polynomials in the two-matrix model
Steven Delvaux
The two-matrix model is defined on pairs of Hermitian matrices of size by the probability measure $$\frac{1}{Z_n} \exp\left(\textrm{Tr} (-V(M_1)-W(M_2)+τM_1…
math-ph2010
Random matrix model with external source and a constrained vector equilibrium problem
Pavel Bleher, Steven Delvaux, Arno B. J. Kuijlaars
We consider the random matrix model with external source, in case where the potential V(x) is an even polynomial and the external source has two eigenvalues a, -a of equal multipli…