摘要
Consider an open set [InlineMediaObject not available: see fulltext.], d ≥ 2, and a closed ball [InlineMediaObject not available: see fulltext.]. Let [InlineMediaObject not available: see fulltext.] denote the expectation of the hitting time of B for reflected Brownian motion in D starting from x D. We say that D is a trap domain if [InlineMediaObject not available: see fulltext.]. A domain D is not a trap domain if and only if the reflecting Brownian motion in D is uniformly ergodic. We fully characterize the simply connected planar trap domains using a geometric condition and give a number of (less complete) results for d > 2.
源语言 | 英语 |
---|---|
页(从-至) | 103-132 |
页数 | 30 |
期刊 | Mathematische Zeitschrift |
卷 | 252 |
期 | 1 |
DOI | |
出版状态 | 已出版 - 1月 2006 |
已对外发布 | 是 |
指纹
探究 'Traps for reflected Brownian motion' 的科研主题。它们共同构成独一无二的指纹。引用此
Burdzy, K., Chen, Z. Q., & Marshall, D. E. (2006). Traps for reflected Brownian motion. Mathematische Zeitschrift, 252(1), 103-132. https://doi.org/10.1007/s00209-005-0849-y