Processes with inert drift
Author(s) -
David White
Publication year - 2007
Publication title -
electronic journal of probability
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.666
H-Index - 53
ISSN - 1083-6489
DOI - 10.1214/ejp.v12-465
Subject(s) - brownian motion , construct (python library) , mathematics , inert , statistical physics , process (computing) , particle (ecology) , local time , stochastic process , function (biology) , physics , statistics , computer science , quantum mechanics , oceanography , evolutionary biology , biology , programming language , geology , operating system
We construct a stochastic process whose drift is a function of the process'slocal time at a reflecting barrier. The process arose as a model of theinteractions of a Brownian particle and an inert particle in (Knight, 2001).Interesting asymptotic results are obtained for two different arrangements ofinert particles and Brownian particles. A version of the process in $\Re^d$ isalso constructed.
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