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

collaborators

47 papers

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…

math.PR2025

The smallest singular value of large random rectangular Toeplitz and circulant matrices

Alexei Onatski, Vladislav Kargin

Let $x_{i}$ , $i \in Z$ be a sequence of i.i.d. standard normal random variables. Consider rectangular Toeplitz $X = (x_{j - i})_{1 \leq i \leq p, 1 \leq j \leq n}$ …

math.PR2024

On the joint distribution of the area and the number of peaks for Bernoulli excursions

Vladislav Kargin

Let $P_{n}$ be a random Bernoulli excursion of length $2 n$ . We show that the area under $P_{n}$ and the number of peaks of $P_{n}$ are asymptotically independent. We also show that these…

math.CO2024

An upper bound on the per-tile entropy of ribbon tilings

Simon Blackburn, Yinsong Chen, Vladislav Kargin

This paper considers $n$ -ribbon tilings of general regions and their per-tile entropy (the binary logarithm of the number of tilings divided by the number of tiles). We show that t…