Long time asymptotics for constrained diffusions in polyhedral domains

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Diffusion models and steady-state approximations for exponentially ergodic Markovian queues. (2014, result): “Extending our results to DMs with reflection seems to present a challenge insofar as the theory of PDEs that arise from the Poisson equation for such networks is less developed and poses a challenge in terms of the gradient bounds that are central to our analysis here; see, for example, [5], where t”
Bounding Stationary Expectations of Markov Processes (2008, background): “In Section 2, we explore such conditions that support the upper bound (5), and in Section 3 we develop conditions that support the derivation of the lower bound (7).”
Convergence rates for rank-based models with applications to portfolio theory (2011, unknown): “16 in [9].”