On locally self-similar fractional random fields indexed by a manifold
Résumé
Local self-similarity for Euclidean random fields has been introduced since a while. In this paper, we define local self-similarity for manifold indexed random fields. We study the properties of the tangent field. In the Gaussian and stable cases, we obtain the expected relations between the fractional index and the stability index. We then give examples.
Domaines
Probabilités [math.PR]| Origine | Fichiers produits par l'(les) auteur(s) |
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