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.
Marinucci, D., Peccati, G. (2013). Mean-square continuity on homogeneous spaces of compact groups. ELECTRONIC COMMUNICATIONS IN PROBABILITY, 18(37), 1-10 [10.1214/ECP.v18-2400].
Mean-square continuity on homogeneous spaces of compact groups
MARINUCCI, DOMENICO;
2013-01-01
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.File in questo prodotto:
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