40:48
published on May 21, 2026
Jumps, cusps and fractals in the solution of dispersive equations
By Beatrice Pelloni
Fractional Gaussian fields on fractals
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.
