2 citations · 2 across the 7 of their papers we have counts for
4 papers · 1 filter
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 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…