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Spherical and Hyperbolic Fractional Brownian Motion

   
@article{ECP1166,
	author = {Jacques Istas},
	title = {Spherical and Hyperbolic  Fractional Brownian Motion},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {10},
	year = {2005},
	keywords = {},
	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 $0 < H \leq 1/2$.},
	pages = {no. 26, 254-262},
	issn = {1083-589X},
	doi = {10.1214/ECP.v10-1166},    
        url = {http://ecp.ejpecp.org/article/view/1166}}