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A relation between dimension of the harmonic measure, entropy and drift for a random walk on a hyperbolic space

   
@article{ECP1350,
	author = {Vincent Le Prince},
	title = {A relation between dimension of the harmonic measure, entropy and drift for a random walk on a hyperbolic space},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {13},
	year = {2008},
	keywords = {Random walk; hyperbolic space; harmonic measure; entropy; drift},
	abstract = {We establish  in this paper  an exact formula which links the dimension of the harmonic measure, the asymptotic entropy and the rate of escape for a random walk on a discrete subgroup of the isometry group of a Gromov hyperbolic space. This  completes a result obtained by the author in a previous paper, where only an upper bound for the dimension was proved.},
	pages = {no. 5, 45-53},
	issn = {1083-589X},
	doi = {10.1214/ECP.v13-1350},    
        url = {http://ecp.ejpecp.org/article/view/1350}}