160 citations · 298 across the 36 of their papers we have counts for
4 papers · 2 filters
Exponential ergodicity and steady-state approximations for a class of Markov processes under fast regime switching
Ari Arapostathis, Guodong Pang, Yi Zheng
We study ergodic properties of a class of Markov-modulated general birth-death processes under fast regime switching. The first set of results concerns the ergodic properties of th…
Subexponential upper and lower bounds in Wasserstein distance for Markov processes
Ari Arapostathis, Guodong Pang, Nikola Sandrić
In this article, relying on Foster-Lyapunov drift conditions, we establish subexponential upper and lower bounds on the rate of convergence in the -Wasserstein distan…
Stationary Distributions and Convergence for M/M/1 Queues in Interactive Random Environment
Yana Belopolskaya, Guodong Pang, Andrey Sarantsev +1
A Markovian single-server queue is studied in an interactive random environment. The arrival and service rates of the queue depend on the environment, while the transition dynamics…
Uniform polynomial rates of convergence for a class of Lévy-driven controlled SDEs arising in multiclass many-server queues
Ari Arapostathis, Hassan Hmedi, Guodong Pang +1
We study the ergodic properties of a class of controlled stochastic differential equations (SDEs) driven by -stable processes which arise as the limiting equations of multiclass…