Diffusions with rank-based characteristics and values in the nonnegative quadrant
DOI10.3150/12-BEJ459zbMath1286.60077arXiv1202.0036OpenAlexW3101395615MaRDI QIDQ2435250
Vilmos Prokaj, Tomoyuki Ichiba, Ioannis Karatzas
Publication date: 4 February 2014
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1202.0036
Skorokhod problemweak and strong solutionssemimartingale local timeskew representationsdiffusion with reflection and rank-dependent characteristicssum-of-exponential stationary densitiesTanaka formula and equationunfolding nonnegative semimartingales
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Diffusion processes (60J60)
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Cites Work
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- A second-order stock market model
- Hybrid Atlas models
- On collisions of Brownian particles
- Unfolding the Skorohod reflection of a semimartingale
- Diffusion approximation for a heavily loaded multi-user wireless communication system with cooperation
- Reflected Brownian motion in a wedge: sum-of-exponential stationary densities
- Reflected Brownian motion with skew symmetric data in a polyhedral domain
- Reflected Brownian motion on an orthant
- Reflected Brownian motion in an orthant: Numerical methods for steady- state analysis
- Lyapunov functions for semimartingale reflecting Brownian motions
- On one-dimensional stochastic differential equations with non-sticky boundary conditions
- Multidimensional reflected Brownian motions having exponential stationary distributions
- Uniqueness for diffusions with piecewise constant coefficients
- A boundary property of semimartingale reflecting Brownian motions
- Planar diffusions with rank-based characteristics and perturbed Tanaka equations
- Strong solutions of stochastic equations with rank-based coefficients
- Non-polar points for reflected Brownian motion
- An explicit formula for the Skorokhod map on \([0,a\)]
- On weak uniqueness for some diffusions with discontinuous coefficients
- Atlas models of equity markets
- A sufficient condition for the positive recurrence of a semimartingale reflecting Brownian motion in an orthant
- Open Queueing Networks in Heavy Traffic
- Brownian motion in a wedge with oblique reflection
- Brownian models of open queueing networks with homogeneous customer populations∗
- Equilibria for diffusion models of pairs of communicating computers--Symmetric case
- The diffusion approximation for tandem queues in heavy traffic
- Local times of functions of continuous semimartingales
- Recurrence and transience of reflecting Brownian motion in the quadrant
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