Alfredo Deaño

activity

20232025

collaborators

3 papers

math-ph2025

Asymptotics for a class of planar orthogonal polynomials and truncated unitary matrices

Alfredo Deaño, Kenneth T-R McLaughlin, Leslie Molag +1

We carry out the asymptotic analysis as $n \to \infty$ of a class of orthogonal polynomials $p_{n} (z)$ of degree $n$ , defined with respect to the planar measure \begin{equation*} d…

math-ph2024

On Airy solutions of P $_{II}$ 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 $_{II}$ , the second Painlevé equation, constructed from the Airy functions. This is ac…

math-ph2023

On Airy Solutions of P $_{II}$ 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 $_{II}$ , the second Painlevé equation, constructed from the Airy functions, as well as associated solutions of…

Asymptotics for a class of planar orthogonal polynomials and truncated unitary matrices

On Airy solutions of PII​ and the complex cubic ensemble of random matrices, II

On Airy Solutions of PII​ and Complex Cubic Ensemble of Random Matrices, I

On Airy solutions of P $_{II}$ and the complex cubic ensemble of random matrices, II

On Airy Solutions of P $_{II}$ and Complex Cubic Ensemble of Random Matrices, I