On states of exit measures for superdiffusions

Sheu, Yuan-Chung

Ann. Probab., Tome 24 (1996) no. 2, p. 268-279 / Harvested from Project Euclid

Résumé

We consider the exit measures of $(L,\alpha)$-superdiffusions, $1 < \alpha \leq 2$, 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).

Publié le : 1996-01-14
Classification: Exit measure, superdiffusion, Hausdorff dimension, boundary polar set, absolutely continuous state, singular state, 60J60, 35J65, 60J80, 60J25, 31C45, 35J60

@article{1042644716,
     author = {Sheu, Yuan-Chung},
     title = {On states of exit measures for superdiffusions},
     journal = {Ann. Probab.},
     volume = {24},
     number = {2},
     year = {1996},
     pages = { 268-279},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1042644716}
}

Sheu, Yuan-Chung. On states of exit measures for superdiffusions. Ann. Probab., Tome 24 (1996) no. 2, pp.  268-279. http://gdmltest.u-ga.fr/item/1042644716/