2 citations · 3 across the 10 of their papers we have counts for
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The lozenge tiling model via non-Hermitian orthogonal polynomials
Ahmad Barhoumi, Maurice Duits
We consider the lozenge tiling model on a large, finite hexagon. It is well-known that random lozenge tilings of the hexagon correspond to a two-dimensional deter…
On Airy solutions of P and the complex cubic ensemble of random matrices, II
Ahmad Barhoumi, Pavel Bleher, Alfredo Deaño +1
We describe the pole-free regions of the one-parameter family of special solutions of P, the second Painlevé equation, constructed from the Airy functions. This is ac…
On Airy Solutions of P and Complex Cubic Ensemble of Random Matrices, I
Ahmad Barhoumi, Pavel Bleher, Alfredo Deaño +1
We show that the one-parameter family of special solutions of P, the second Painlevé equation, constructed from the Airy functions, as well as associated solutions of…
Investigation of the two-cut phase region in the complex cubic ensemble of random matrices
Ahmad Barhoumi, Pavel M. Bleher, Alfredo Deaño +1
We investigate the phase diagram of the complex cubic unitary ensemble of random matrices with the potential where is a complex parameter. As proven i…