V. A. Prokhorov

activity

20182026

collaborators

5 papers

math.CV2026

Hadamard-Type Asymptotics for Products of Best Rational Approximation Errors

Vasiliy A. Prokhorov

Let $E \subset C$ be a compact set with connected complement, and let $ρ_{n, m} (f; E)$ denote the error of best uniform rational approximation to a function $f$ analytic on $E…

math.CO2023

Matrix continued fractions associated with lattice paths, resolvents of difference operators, and random polynomials

J. Kim, A. López-García, V. A. Prokhorov

We begin our analysis with the study of two collections of lattice paths in the plane, denoted $D_{[n, i, j]}$ and $P_{[n, i, j]}$ . These paths consist of sequences…

math.CO2022

Lattice paths, vector continued fractions, and resolvents of banded Hessenberg operators

Abey López-García, Vasiliy A. Prokhorov

We give a combinatorial interpretation of vector continued fractions obtained by applying the Jacobi-Perron algorithm to a vector of $p \geq 1$ resolvent functions of a banded Hesse…

math.PR2021

Characteristic polynomials of random banded Hessenberg matrices and Hermite-Padé approximation

Abey López-García, Vasiliy A. Prokhorov

We consider a class of random banded Hessenberg matrices with independent entries having identical distributions along diagonals. The distributions may be different for entries bel…

math.PR2018

On random polynomials generated by a symmetric three-term recurrence relation

Abey López García, Vasiliy A. Prokhorov

We investigate the sequence $(P_{n} (z))_{n = 0}^{\infty}$ of random polynomials generated by the three-term recurrence relation $P_{n + 1} (z) = z P_{n} (z) - a_{n} P_{n - 1} (z)$ , $n \geq 1$ , w…