Dr. Vyacheslav Abramov | Mathematics | Research Excellence Award
Retired Academician, Monash University | Australia
Dr. Vyacheslav Abramov is an internationally recognized mathematician whose research centers on probability theory, stochastic processes, and queueing systems, with strong applications to telecommunications, computer networks, and applied stochastic modelling. His scholarly work has made foundational contributions to the theory of Markov chains, random walks, loss systems, Toeplitz and circulant matrices, and asymptotic methods in queueing networks. He is also known for extending classical convergence tests, recurrence criteria, and fixed-point theorems to infinite-dimensional settings. His research bridges rigorous mathematical theory with practical modelling problems in engineering and networked systems.
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Featured Publications
Classes of Functions in the Set of Circulant Matrices and Their Characterization
– Ukrainian Mathematical Journal, 77(11), April 2026
A new criterion for recurrence of Markov chains with an infinitely countable set of states
– Theory of Probability and Mathematical Statistics, 112(5), October 2024
Extension of the Fundamental Theorem of Algebra for Polynomial Matrix Equations with Circulant Matrices
– The American Mathematical Monthly, 132(4), September 2024
CONDITIONS FOR RECURRENCE AND TRANSIENCE FOR TIME-INHOMOGENEOUS BIRTH-AND-DEATH PROCESSES
– Bulletin of the Australian Mathematical Society, 109(2), May 2023
