Local correlation dimension and Hausdorff dimension of continuous random fields

Jean Marc Bardet

doi:10.1016/s0764-4442(98)85012-x

Local correlation dimension and Hausdorff dimension of continuous random fields

Research output: Contribution to journal › Article › peer-review

Abstract

Local correlation is a new dimension for continuous random field. This dimension is given by the asymptotic behaviour of intersection occupation measure. We compare first this dimension to Hausdorff one. We compute then local correlation dimension of multiparameter fractional Brownian motions. We also correct a result of Cuzick and give the value of Hausdorff dimension of these processes.

Translated title of the contribution	Dimension de corrélation locale et dimension de Hausdorff des processus vectoriels continus
Original language	English
Pages (from-to)	589-594
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	326
Issue number	5
DOIs	https://doi.org/10.1016/s0764-4442(98)85012-x
Publication status	Published - 1 Jan 1998
Externally published	Yes

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Local correlation dimension and Hausdorff dimension of continuous random fields

Abstract

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