32 citations · 419 across the 47 of their papers we have counts for
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math.PR2019
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…
math.PR2019
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…
math.PR2019★ 5 cited
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…