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research article

The Exact Hausdorff Measure of the Zero Set of Fractional Brownian Motion

Baraka, D.
•
Mountford, T. S.  
2011
Journal Of Theoretical Probability

Let {X(t), t is an element of R-N} be a fractional Brownian motion in R-d of index H. If L(0,I) is the local time of X at 0 on the interval I subset of R-N, then there exists a positive finite constant c(=c(N,d,H)) such that

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Type
research article
DOI
10.1007/s10959-009-0271-1
Web of Science ID

WOS:000286834800010

Author(s)
Baraka, D.
Mountford, T. S.  
Date Issued

2011

Publisher

Springer US

Published in
Journal Of Theoretical Probability
Volume

24

Start page

271

End page

293

Subjects

Local times

•

Hausdorff measures

•

Level sets

•

Fractional Brownian motion

•

Stationary Gaussian Processes

•

Sample-Function Properties

•

Local-Times

•

Random-Fields

•

Level Sets

•

Uniform Dimension

•

Holder Conditions

•

Vector-Fields

•

Nondeterminism

•

Trajectories

Note

National Licences

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
PRST  
Available on Infoscience
December 16, 2011
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/74393
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