17 citations · 55 across the 12 of their papers we have counts for
4 papers · 2 filters
Stein's method for steady-state diffusion approximations: an introduction through the Erlang-A and Erlang-C models
Anton Braverman, J. G. Dai, Jiekun Feng
This paper provides an introduction to the Stein method framework in the context of steady-state diffusion approximations. The framework consists of three components: the Poisson e…
Poisson statistics of eigenvalues in the hierarchical Dyson model
Alexander Bendikov, Anton Braverman, John Pike
Let be a locally compact separable ultrametric space. Given a measure on and a function defined on the set of all balls we consider t…
Heavy traffic approximation for the stationary distribution of a generalized Jackson network: the BAR approach
Anton Braverman, J. G. Dai, Masakiyo Miyazawa
In the seminal paper of Gamarnik and Zeevi (2006), the authors justify the steady-state diffusion approximation of a generalized Jackson network (GJN) in heavy traffic. Their appro…
Stein's method for steady-state diffusion approximations of systems
Anton Braverman, J. G. Dai
We consider queueing systems in steady state. We prove that the Wasserstein distance between the stationary distribution of the normalized system size process and that o…