14 citations · 29 across the 15 of their papers we have counts for
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math.PR2016★ 6 cited
Componentwise accurate Brownian motion computations using Cyclic Reduction
Giang T. Nguyen, Federico Poloni
Markov-modulated Brownian motion is a popular tool to model continuous-time phenomena in a stochastic context. The main quantity of interest is the invariant density, which satisfi…
math.PR2016
Feedback control: two-sided Markov-modulated Brownian motion with instantaneous change of phase at boundaries
Guy Latouche, Giang T. Nguyen
We consider a Markov-modulated Brownian motion with two boundaries at and , and allow for the controlling Markov chain to instantaneously und…