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Mean-Square continuity on homogeneous spaces of compact groups

   
@article{ECP2400,
	author = {Domenico Marinucci and Giovanni Peccati},
	title = {Mean-Square continuity on homogeneous spaces of compact groups},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {18},
	year = {2013},
	keywords = {Random Processes; Isotropy; Mean-Square Continuity},
	abstract = {We show that any finite-variance, isotropic random field on a compact group is necessarily mean-square continuous, under standard measurability assumptions. The result extends to isotropic random fields defined on homogeneous spaces where the group acts continuously.},
	pages = {no. 37, 1-10},
	issn = {1083-589X},
	doi = {10.1214/ECP.v18-2400},    
        url = {http://ecp.ejpecp.org/article/view/2400}}