arXiv subjects

Carla Mariana da Silva Pinheiro

Publications and source records attributed to Carla Mariana da Silva Pinheiro.

2 recordsLinked to original sources

arXiv2026

Unitary ensembles with a critical edge point, their multiplicative statistics and the Korteweg-de-Vries hierarchy

We study the multiplicative statistics associated to the limiting determinantal point process describing unitary random matrices with a critical edge point, where limiting density vanishes like a power 5/2. We prove that these statistics are governed by the first three equations of the KdV hierarchy, and study the asymptotic behavior of the relevant solutions.

math-ph↗

arXiv2025

Asymptotic expansion for multiplicative statistics in a Hermitian matrix model connected to the lower tail of the KPZ equation

We explore the multiplicative statistics for a unitary random matrix ensemble with a parameter-dependent deformation inserted in the probability measure. Such deformations had been studied for a bounded or decaying parameter. In this work, we extend the previous results for a growing parameter under a controlled rate, and show that the underlying statistics relate to the lower tail study for the KPZ equation.

math-ph↗