Slices of Brownian Sheet: New Results, and Open Problems

D. Khoshnevisan

Abstract. We can view Brownian sheet as a sequence of interacting Brownian motions or slices. Here we present a number of results about the slices of the sheet. A common feature of our results is that they exhibit phase transition. In addition, a number of open problems are presented.

Keywords. Brownian sheet, capacity, dimension.

AMS Classification (2000) 60G50, 60H99.

Support. Research supported in part by grants from the National Science Foundation

Pre/E-Prints. This paper is available in

Davar Khoshnevisan
Department of Mathematics
University of Utah
155 S, 1400 E JWB 233
Salt Lake City, UT 84112-0090, U.S.A.

Last Update: October 19, 2006
© 2005 - Davar Khoshnevisan