V. Kargin

activity

20022026

most citedSubordination for the sum of two random matrices

34 citations · 150 across the 45 of their papers we have counts for

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3 papers · 1 filter

math.OA2026

Fuglede--Kadison Determinants of Shifted Matrix Semicircles

Vladislav Kargin

We prove a variational formula for the Fuglede-Kadison determinant of a self-adjoint matrix semicircle $S_{a} = a \otimes 1 + \sum_{j} A_{j} \otimes s_{j}$ with deterministic mean $a$ . For…

math.OA2026

Singularities of matrix semicircles

Vladislav Kargin

Let $S = \sum_{i = 1}^{r} A_{i} \otimes s_{i}$ be a matrix semicircular element, with Hermitian coefficients $A_{i} \in M_{n} (C)$ and free standard semicircular generators $s_{i}$ . Its scal…

math.PR2026

Free compressions of R-diagonal random variables and the semigroup of Brown measures

Vladislav Kargin

We investigate the Brown measures of compressions of $R$ -diagonal random variables, extending previous results to include unbounded cases. For random variables with finite variance…