ISSN:
1435-926X
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary LetW (N,d) be theN-parameter Wiener process with values inR d. Then the dimension of the level sets isN−d/2 with positive probability ifd〈2N. The dimension of the graph is a.s. min {2N,N+d/2}. The level sets have zero (N−d/2)-measure a.s. and the graph has zero min {2N,N+d/2}-measure a.s.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01915212