Abstract: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 its moments. Here, an analytical approach allows us, as in the case of Wigner matrices, to relax the assumptions on the random variables. With this method, we proved the convergence of the spectral distribution under an assumption on the second moment. We discuss also about an algebraic approach for the tridiagonal models, which are more complicated than the classic freeness.
From: Ionel Popescu [view email]
[v1]
Wed, 3 Dec 2025 10:06:18 UTC (452 KB)
[v2]
Sat, 25 Jul 2026 23:05:28 UTC (459 KB)
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