4 citations · 6 across the 7 of their papers we have counts for
4 papers · 1 filter
Long term behavior of the stirred vacuum on a Dirac chain: geometry blur and the random Slater ensemble
José Vinaixa, Begoña Mula, Alfredo Deaño +2
We characterize the long-term state of the 1D Dirac vacuum stirred by an impenetrable object, modeled as the ground state of a finite free-fermionic chain dynamically perturbed by…
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…
Non Abelian Toda-type equations and matrix valued orthogonal polynomials
Alfredo Deaño, Lucía Morey, Pablo Román
In this paper, we study parameter deformations of matrix valued orthogonal polynomials (MVOPs). These deformations are built on the use of certain matrix valued operators which are…
On the Riemann-Hilbert approach to asymptotics of tronquée solutions of Painlevé I
Alfredo Deaño
In this paper, we revisit large variable asymptotic expansions of tronquée solutions of the Painlevé I equation, obtained via the Riemann-Hilbert approach and the method of steepes…