2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111428We 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.4 figuresProbability60J65; 60J55Processes with inert drifttext