V. Kargin

collaborators

2 papers

math.OA2026

An algebraic characterization of non-singular matrix semicircles

Vladislav Kargin

Let $A_{1}, \dots, A_{r}$ be Hermitian $n \times n$ matrices and $S = \sum A_{i} \otimes s_{i}$ the associated matrix semicircle, where $s_{1}, \dots, s_{r}$ are free semicircular variables.…

math.CO2023

The Number of Ribbon Tilings for Strips

Yinsong Chen, Vladislav Kargin

First, we consider order- $n$ ribbon tilings of an $M$ -by- $N$ rectangle $R_{M, N}$ where $M$ and $N$ are much larger than $n$ . We prove the existence of the growth rate $γ_{n}$ of the…