Local and asymptotic properties of Linear Fractional Stable Sheets

Antoine Ayache; François Roueff; Yimin Xiao

doi:10.1016/j.crma.2007.01.017

Local and asymptotic properties of Linear Fractional Stable Sheets

Antoine Ayache
, François Roueff
, Yimin Xiao

CNRS UMR 8524
CNRS LTCI
Department of Statistics and Probability
Michigan State University

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

11 Citations (Scopus)

Résumé

In this Note we introduce representations of Linear Fractional Stable Sheets as wavelet random series. Using these representations, in the case where the paths are continuous, an anisotropic uniform and quasi-optimal modulus of continuity of these paths is obtained as well as an upper bound on their behavior at infinity. To cite this article: A. Ayache et al., C. R. Acad. Sci. Paris, Ser. I 344 (2007).

langue originale	Anglais
Pages (de - à)	389-394
Nombre de pages	6
journal	Comptes Rendus Mathematique
Volume	344
Numéro de publication	6
Les DOIs	https://doi.org/10.1016/j.crma.2007.01.017
état	Publié - 15 mars 2007
Modification externe	Oui

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10.1016/j.crma.2007.01.017

Contient cette citation

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title = "Local and asymptotic properties of Linear Fractional Stable Sheets",

abstract = "In this Note we introduce representations of Linear Fractional Stable Sheets as wavelet random series. Using these representations, in the case where the paths are continuous, an anisotropic uniform and quasi-optimal modulus of continuity of these paths is obtained as well as an upper bound on their behavior at infinity. To cite this article: A. Ayache et al., C. R. Acad. Sci. Paris, Ser. I 344 (2007).",

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T1 - Local and asymptotic properties of Linear Fractional Stable Sheets

AU - Ayache, Antoine

AU - Roueff, François

AU - Xiao, Yimin

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N2 - In this Note we introduce representations of Linear Fractional Stable Sheets as wavelet random series. Using these representations, in the case where the paths are continuous, an anisotropic uniform and quasi-optimal modulus of continuity of these paths is obtained as well as an upper bound on their behavior at infinity. To cite this article: A. Ayache et al., C. R. Acad. Sci. Paris, Ser. I 344 (2007).

AB - In this Note we introduce representations of Linear Fractional Stable Sheets as wavelet random series. Using these representations, in the case where the paths are continuous, an anisotropic uniform and quasi-optimal modulus of continuity of these paths is obtained as well as an upper bound on their behavior at infinity. To cite this article: A. Ayache et al., C. R. Acad. Sci. Paris, Ser. I 344 (2007).

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DO - 10.1016/j.crma.2007.01.017

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Local and asymptotic properties of Linear Fractional Stable Sheets

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