WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 12, 2013
Polar Sets for Slices of Generalized Brownian Sheet
Author:
Abstract: Let fW be a two-parameter, Rd-valued generalized Brownian sheet. We can view fW as a sequence of interacting generalized Brownian motions or slices. The sample path properties for the slices of fW are studied, and the connections between the polar sets for the slices of fW and capacity are also presented. A common feature of our results is that exhibit phase transition.