A DISCRETE FRACTAL IN Z(+)(1)

Authors
KHOSHNEVISAN D
Citation
D. Khoshnevisan, A DISCRETE FRACTAL IN Z(+)(1), Proceedings of the American Mathematical Society, 120(2), 1994, pp. 577-584
Citations number
10
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
120
Issue
2
Year of publication
1994
Pages
577 - 584
Database
ISI
SICI code
0002-9939(1994)120:2<577:ADFIZ>2.0.ZU;2-I
Abstract
In this paper, we show that the level sets of mean zero finite varianc e random walks in R1 form a discrete fractal in the sense of Barlow an d Taylor. Analogously to the Brownian motion result, the Hausdorff dim ension of the level sets is almost surely equal to 1/2.