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

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

11 Citations (Scopus)

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).

Original language	English
Pages (from-to)	389-394
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	344
Issue number	6
DOIs	https://doi.org/10.1016/j.crma.2007.01.017
Publication status	Published - 15 Mar 2007
Externally published	Yes

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10.1016/j.crma.2007.01.017

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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

PY - 2007/3/15

Y1 - 2007/3/15

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).

U2 - 10.1016/j.crma.2007.01.017

DO - 10.1016/j.crma.2007.01.017

M3 - Article

AN - SCOPUS:33947262690

SN - 1631-073X

VL - 344

SP - 389

EP - 394

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 6

ER -

Local and asymptotic properties of Linear Fractional Stable Sheets

Abstract

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