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Processes with inert drift

David White
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Abstract

We construct a stochastic process whose drift is a function of the process's local time at a reflecting barrier. The process arose as a model of the interactions of a Brownian particle and an inert particle in (Knight, 2001). Interesting asymptotic results are obtained for two different arrangements of inert particles and Brownian particles. A version of the process in $\Re^d$ is also constructed.

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David White. 2006-04-03. Processes with inert drift. https://arxiv.org/abs/math/0604052

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