標題: | On states of exit measures for superdiffusions |
作者: | Sheu, YC 交大名義發表 應用數學系 National Chiao Tung University Department of Applied Mathematics |
關鍵字: | exit measure;superdiffusion;Hausdorff dimension;boundary polar set;absolutely continuous state;singular state |
公開日期: | 1-一月-1996 |
摘要: | We consider the exit measures of (L, alpha)-superdiffusions, 1 < alpha less than or equal to 2, from a bounded smooth domain D in R(d). By using analytic results about solutions of the corresponding boundary value problem, we study the states of the exit measures. (Abraham and Le Gall investigated earlier this problem for a special case L = Delta and alpha = 2.) Also as an application of these analytic results, we give a different proof for the critical Hausdorff dimension of boundary polarity (established earlier by Le Gall under more restrictive assumptions and by Dynkin and Kuznetsov for general situations). |
URI: | http://hdl.handle.net/11536/1544 |
ISSN: | 0091-1798 |
期刊: | ANNALS OF PROBABILITY |
Volume: | 24 |
Issue: | 1 |
起始頁: | 268 |
結束頁: | 279 |
顯示於類別: | 期刊論文 |