2 citations · 2 across the 7 of their papers we have counts for
7 papers
Some notes on Lamperti's recurrence of stochastic sequences
Vyacheslav M. Abramov
The present study provides another look on Lamperti's theorem on recurrence or transience of stochastic sequences. We establish connection between Lamperti's theorem and the recent…
A solution to a Paul Erdos problem
Vyacheslav M. Abramov
Paul Erdos posed the following question: Is there a prime number such that the residues of , ,\ldots, modulo all are distinct? In this short note, we pro…
Classes of functions in the set of circulant matrices and their characterization
Vyacheslav M. Abramov
In this paper, we introduce new classes of functions that extend the known classes of functions of complex variable, such as entire functions, meromorphic functions, rational funct…
Extension of the Fundamental Theorem of Algebra for Polynomial Matrix Equations with Circulant Matrices
Vyacheslav M. Abramov
We establish an analogue of the fundamental theorem of algebra for polynomial matrix equations, in which the matrices-coefficients and unknown matrix are assumed to be circulant ma…
A new criterion for recurrence of Markov chains with an infinitely countable set of states
Vyacheslav M. Abramov
For a class of irreducible Markov chains with an infinitely countable set of states, we establish a new verifiable necessary and sufficient condition for recurrence and transience.…
Conditions for recurrence and transience for time-inhomogeneous random walks
Vyacheslav M. Abramov
The present paper extends the earlier results obtained by Abramov [`Conditions for recurrence and transience for time-inhomogeneous birth-and-death processes' \emph{Bull. Aust. Mat…
The stability of join-the-shortest-queue models with general input and output processes
Vyacheslav M. Abramov
The paper establishes necessary and sufficient conditions for stability of different join-the-shortest-queue models including load-balanced networks with general input and output p…