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Mean-Square continuity on homogeneous spaces of compact groups


 
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1. Title Title of document Mean-Square continuity on homogeneous spaces of compact groups
 
2. Creator Author's name, affiliation, country Domenico Marinucci; University of Rome "Tor Vergata"; Italy
 
2. Creator Author's name, affiliation, country Giovanni Peccati; Luxembourg University; Luxembourg
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Random Processes; Isotropy; Mean-Square Continuity
 
3. Subject Subject classification 60G05 ; 60G60
 
4. Description 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.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2013-05-23
 
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/2400
 
10. Identifier Digital Object Identifier 10.1214/ECP.v18-2400
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 18
 
12. Language English=en en
 
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