Mean-Square Continuity on Homogeneous Spaces of Compact Groups
Probability
2015-04-27 v2
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.
Keywords
Cite
@article{arxiv.1210.7676,
title = {Mean-Square Continuity on Homogeneous Spaces of Compact Groups},
author = {Domenico Marinucci and Giovanni Peccati},
journal= {arXiv preprint arXiv:1210.7676},
year = {2015}
}
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8 pages