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- W2000653061 abstract "Consider reflecting Brownian motion in a bounded domain in $${mathbb R^d}$$ that acquires drift in proportion to the amount of local time spent on the boundary of the domain. We show that the stationary distribution for the joint law of the position of the reflecting Brownian motion and the value of the drift vector has a product form. Moreover, the first component is uniformly distributed on the domain, and the second component has a Gaussian distribution. We also consider more general reflecting diffusions with inert drift as well as processes where the drift is given in terms of the gradient of a potential." @default.
- W2000653061 created "2016-06-24" @default.
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- W2000653061 date "2008-11-04" @default.
- W2000653061 modified "2023-10-18" @default.
- W2000653061 title "Stationary distributions for diffusions with inert drift" @default.
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- W2000653061 doi "https://doi.org/10.1007/s00440-008-0182-6" @default.
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