211 citations · 1k across the 48 of their papers we have counts for
53 papers
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…
Openness of Regular Regimes of Complex Random Matrix Models
Marco Bertola, Pavel Bleher, Roozbeh Gharakhloo +2
Consider the general complex polynomial external field Fix an equi…
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…