publiée le 7 juillet 2026
Boundary conditions and non kinematic free boundaries for wave-structure interactions
De David Lannes
Fractional Gaussian fields on fractals
Apparaît dans la 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.
