English

Exponential ergodicity and convergence for generalized reflected Brownian motion

Probability 2019-06-18 v2

Abstract

In this paper we provide convergence analysis for a class of Brownian queues in tandem by establishing an exponential drift condition. A consequence is the uniform exponential ergodicity for these multidimensional diffusions, including the O'Connell-Yor process. A list of open problems are also presented.

Keywords

Cite

@article{arxiv.1806.03755,
  title  = {Exponential ergodicity and convergence for generalized reflected Brownian motion},
  author = {Wenpin Tang},
  journal= {arXiv preprint arXiv:1806.03755},
  year   = {2019}
}

Comments

17 pages. This paper is published by https://link.springer.com/article/10.1007%2Fs11134-019-09610-5

R2 v1 2026-06-23T02:25:15.207Z