2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/29426I suggest that electron localization by random flux and passive transport in quenched velocity fields in two dimensions be studied as perturbations of the simple operator ${\cal K}={\bf A} \cdot \nabla$, with incompressible velocity field/vector potential ${\bf A}=\nabla \times ϕ=(-\partial_y,\partial_x)ϕ$. This operator has an infinitely degenerate subspace of zero energy eigenstates, arising from incompressibility, that are {\it extended} for generic $ϕ({\bf x})$ and are expected to remain so under perturbation. I propose that an anomaly accounts qualitatively for properties of the spectrum and eigenstates of ${\cal K}$ and its perturbations.Revised presentation; typographical errors corrected; no change in contentMesoscale and Nanoscale PhysicsSoft Condensed Mattertext