Fractional Gaussian fields on fractals | Vidéo | Carmin.tv

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Fractional Gaussian fields on fractals

By Fabrice Baudoin

fractional Gaussian fields

Appears in collection : Pathwise Stochastic Analysis and Applications / Analyse stochastique trajectorielle et applications

We study the regularity of the Gaussian random measures $(-\Delta)^{-s}W$ on the Sierpiński gasket where $W$ is a white noise and $\Delta$ the Laplacian with respect to the Hausdorff measure. Along the way we prove sharp global Hölder regularity estimates for the fractional Riesz kernels on the gasket which are new and of independent interest. This is a joint work with Celine Lacaux.

Information about the video

Date of recording 09/03/2021
Date of publication 26/03/2021
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19728503
Cite this video Baudoin, Fabrice (09/03/2021). Fractional Gaussian fields on fractals. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19728503
URL https://dx.doi.org/10.24350/CIRM.V.19728503

Domain(s)

Bibliography

BAUDOIN, Fabrice et LACAUX, Céline. Fractional Gaussian fields on the Sierpinski gasket and related fractals. arXiv preprint arXiv:2003.04408, 2020. - https://arxiv.org/abs/2003.04408

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