Language:   Search:   Contact
World of
Mathematics Database
»ZBMATH« MSC 2000
MSC 2010 Reviewer
Service Subscription
»ZBMATH«
ZBMATH Database | Simple Search Print
Read more | Try MathML | Hide
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

ZBMATH Database Simple Search Advanced Search Command Search

Simple Search

Query:
Enter a query and click »Search«...
Format:
Display: entries per page entries
Zbl 0786.60106
Mountford, T.S.
Estimates of the Hausdorff dimension of the boundary of positive Brownian sheet components. (English)
[A] Azéma, J. (ed.) et al., Séminaire de probabilités XXVII. Berlin: Springer-Verlag. Lect. Notes Math. 1557, 233-255 (1993). ISBN 3-540-57282-1/pbk

Summary: The Brownian sheet is examined. We provide upper and lower bounds for the Hausdorff dimension of the boundary of time components for which the Brownian sheet is strictly positive or strictly negative. In particular we show that this dimension lies strictly between 1 and 3/2. It is also shown that there exist random time points which are boundary points for both positive and negative components.
MSC 2000:
*60J65 Brownian motion
60G60 Random fields

Keywords: Brownian sheet; Hausdorff dimension

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Article

Login Username: Password:

Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Master Server

Zentralblatt MATH Berlin [Germany]

© FIZ Karlsruhe GmbH

Zentralblatt MATH master server is maintained by the Editorial Office in Berlin, Section Mathematics and Computer Science of FIZ Karlsruhe and is updated daily.

Other Mirror Sites

Copyright © 2013 Zentralblatt MATH | European Mathematical Society | FIZ Karlsruhe | Heidelberg Academy of Sciences
Published by Springer-Verlag | Webmaster