  We study the two-dimensional localization problem for (i) a classical
diffusing particle advected by a quenched random mean-zero vorticity field, and
(ii) a quantum particle in a quenched random mean-zero magnetic field. Through
a combination of numerical and analytic techniques we argue that both systems
have extended eigenstates at a special point in the spectrum, $E_c$, where a
sublattice decomposition obtains. In a neighborhood of this point, the Lyapunov
exponents of the transfer-matrices acquire ratios characteristic of conformal
invariance allowing an indirect determination of $1/r$ for the typical spatial
decay of eigenstates.
