Some fractal properties of Brownian paths
Resource
Taiwanese Journal of Mathematics
4, 45-53
4, 45-53
Journal
Taiwanese Journal of Mathematics
Pages
45-53
Date Issued
2000
Date
2000
Author(s)
Shieh, Narn-Rueih
Abstract
In this paper, we survey some recent results concerning the fractal structure of Brownian sample paths. The following aspects are discussed: (1) average densities of Brownian trails and intersections; (2) dimension spectra of Brownian zeroes; (3) multifractal properties of Brownian substitutions.
Type
journal article