@article{626eeea05afb4165a29ed4f81597139a,
title = "Reflecting Brownian motions: Quasimartingales and strong Caccioppoli sets",
abstract = "A notion of strong Caccioppoli set is defined for bounded Euclidean domains. It is shown that stationary (normally) reflecting Brownian motion on the closure of a bounded Euclidean domain is a quasimartingale on each compact time interval if and only if the domain is a strong Caccioppoli set. A similar result is shown to hold for symmetric reflecting diffusion processes.",
keywords = "Brownian motion, Caccioppoli set, Dirichlet form, Mathematics Subject Classifications (1991): Primary 60J65, secondary 60J60, 60J55, 49Q15, 31C25, Skorokhod decomposition, quasimartingale, reflecting symmetric diffusion, set of finite perimeter",
author = "Chen, {Z. Q.} and Fitzsimmons, {P. J.} and Williams, {R. J.}",
year = "1993",
month = sep,
doi = "10.1007/BF01048506",
language = "English",
volume = "2",
pages = "219--243",
journal = "Potential Analysis",
issn = "0926-2601",
publisher = "Springer Netherlands",
number = "3",
}