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Spherical and Hyperbolic Fractional Brownian Motion

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Spherical and Hyperbolic Fractional Brownian Motion
2.	Creator	Author's name, affiliation, country	Jacques Istas; Université Pierre Mendès
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)
4.	Description	Abstract	We define a Fractional Brownian Motion indexed by a sphere, or more generally by a compact rank one symmetric space, and prove that it exists if, and only if, $0 < H \leq 1/2$. We then prove that Fractional Brownian Motion indexed by an hyperbolic space exists if, and only if, $0 < H \leq 1/2$. At last, we prove that Fractional Brownian Motion indexed by a real tree exists when $0 < H \leq 1/2$.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2005-12-21
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ecp.ejpecp.org/article/view/1166
10.	Identifier	Digital Object Identifier	10.1214/ECP.v10-1166
11.	Source	Journal/conference title; vol., no. (year)	Electronic Communications in Probability; Vol 10
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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