Interactive solution visualizations
Parabolic Anderson model on two fractals
Explore realizations of the Itô parabolic Anderson model with space–time white noise on the Sierpiński gasket and carpet. Each view opens on its own page.
∂tu = κ ΔF,Nu + λuẆ
Sierpiński gasket
Compare a point-mass initial condition with localized harmonic profiles at two noise strengths.
Sierpiński carpet
Follow a localized bump with nontrivial support under stronger or milder noise.