3 papers
math.PR2025
Tridiagonal random matrices, an analytic approach
Lucas Babet, Ionel Popescu
In this paper, we study the limiting distribution of the eigenvalues for random tridiagonal matrix models. In the paper \cite{P09}, the limiting distribution is well described by i…
math.NA2025
Error analysis for the deep Kolmogorov method
Iulian Cîmpean, Thang Do, Lukas Gonon +2
The deep Kolmogorov method is a simple and popular deep learning based method for approximating solutions of partial differential equations (PDEs) of the Kolmogorov type. In this w…
math.PR2025
Quantitative boundary Hölder estimates for the inhomogeneous Poisson problem through a probabilistic approach
Iulian Cîmpean, Ionel Popescu, Arghir Zarnescu
In this paper we derive quantitative boundary Hölder estimates, with explicit constants, for the inhomogeneous Poisson problem in a bounded open set . Our a…