On Brownian Paths Connecting Boundary Points

Burdzy, Krzysztof

Ann. Probab., Tome 16 (1988) no. 4, p. 1034-1038 / Harvested from Project Euclid

Résumé

There exists a Greenian domain $D \subset \mathbb{R}^2$ such that for every set $U$ of attainable minimal Martin boundary points which has null harmonic measure, there exist attainable minimal Martin boundary points $u, \nu \not\in U$ which cannot be connected by an $h$-process in $D$ starting from $u$ and converging to $\nu$.

Publié le : 1988-07-14
Classification: Brownian motion, $h$-processes, Martin boundary, 60J50, 60J65

@article{1176991675,
     author = {Burdzy, Krzysztof},
     title = {On Brownian Paths Connecting Boundary Points},
     journal = {Ann. Probab.},
     volume = {16},
     number = {4},
     year = {1988},
     pages = { 1034-1038},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176991675}
}

Burdzy, Krzysztof. On Brownian Paths Connecting Boundary Points. Ann. Probab., Tome 16 (1988) no. 4, pp.  1034-1038. http://gdmltest.u-ga.fr/item/1176991675/