211 citations · 1k across the 48 of their papers we have counts for
45 papers · 1 filter
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…
Phase Diagram and Topological Expansion in the Complex Quartic Random Matrix Model
Pavel Bleher, Roozbeh Gharakhloo, Kenneth T-R McLaughlin
We use the Riemann-Hilbert approach, together with string and Toda equations, to study the topological expansion in the quartic random matrix model. The coefficients of the topolog…
A representation of joint moments of CUE characteristic polynomials in terms of Painleve functions
Estelle Basor, Pavel Bleher, Robert Buckingham +4
We establish a representation of the joint moments of the characteristic polynomial of a CUE random matrix and its derivative in terms of a solution of the sigma-Painleve V equatio…
Dimer Model: Full Asymptotic Expansion of the Partition Function
Pavel Bleher, Brad Elwood, Dražen Petrović
We give a complete rigorous proof of the full asymptotic expansion of the partition function of the dimer model on a square lattice on a torus for general weights of the…