A positive recurrent reflecting Brownian motion with divergent fluid path
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Publication:549863
DOI10.1214/10-AAP713zbMath1225.60137arXiv1010.1751MaRDI QIDQ549863
Publication date: 19 July 2011
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.1751
Stochastic network models in operations research (90B15) Queueing theory (aspects of probability theory) (60K25) Brownian motion (60J65) Diffusion processes (60J60) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)
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Cites Work
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- Positive recurrence of reflecting Brownian motion in three dimensions
- Exit times from cones in \({\mathbb{R}}^ n\) of Brownian motion
- Existence and uniqueness of semimartingale reflecting Brownian motions in an orthant
- Lyapunov functions for semimartingale reflecting Brownian motions
- On the stability of the linear Skorokhod problem in an orthant
- Brownian models of multiclass queueing networks: Current status and open problems
- Reflecting Brownian motion in three dimensions: a new proof of sufficient conditions for positive recurrence
- A Gaussian correlation inequality and its applications to small ball probabilities
- A capture problem in Brownian motion and eigenvalues of spherical domains
- Brownian models of open queueing networks with homogeneous customer populations∗
- AN OVERVIEW OF SOME STOCHASTIC STABILITY METHODS(<Special Issue>Network Design, Control and Optimization)
- Sur la récurrence positivedu mouvement brownien réflechidans l'orthant positif de
- Stability of queueing networks
- Capture time of Brownian pursuits
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