Asymptotic behavior of the occupancy density for obliquely reflected Brownian motion in a half-plane and Martin boundary
DOI10.1214/21-AAP1681zbMath1482.60109arXiv2004.06968OpenAlexW3016539924MaRDI QIDQ2075337
Philip A. Ernst, Sandro Franceschi
Publication date: 14 February 2022
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.06968
Laplace transformGreen's functionMartin boundarystationary distributionsaddle-point methodexact asymptoticsobliquely reflected Brownian motion in a half-planeoccupancy density
Infinitely divisible distributions; stable distributions (60E07) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Brownian motion (60J65) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05)
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Cites Work
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- Conjectures on tail asymptotics of the marginal stationary distribution for a multidimensional SRBM
- t-Martin boundary of reflected random walks on a half-space
- Asymptotic analysis of Lévy-driven tandem queues
- Asymptotic behavior of the stationary probabilities for two-dimensional positive random walks
- Malyshev's theory and JS-queues. Asymptotics of stationary probabilities
- Stationary distribution of a two-dimensional SRBM: geometric views and boundary measures
- Tail asymptotics for a Lévy-driven tandem queue with an intermediate input
- Tandem Brownian queues
- Markov processes and Martin boundaries. I
- Random walks in $(\mathbb{Z}_{+})^{2}$ with non-zero drift absorbed at the axes
- Brownian models of open queueing networks with homogeneous customer populations∗
- Reflecting Brownian motion in two dimensions: Exact asymptotics for the stationary distribution
- Markov Processes, Brownian Motion, and Time Symmetry
- Markov processes and Martin boundaries
- Asymptotic expansion of stationary distribution for reflected Brownian motion in the quarter plane via analytic approach
- Minimal Positive Harmonic Functions
- Explicit solutions for variational problems in the quadrant
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