  We study the two-dimensional chiral metal, which is formed at the surface of
a layered three-dimensional system exhibiting the integer quantum Hall effect
by hybridization of the edge states associated with each layer of the sample.
We investigate mesoscopic fluctuations, dynamical screening and inelastic
scattering in the chiral metal, focussing particularly on fluctuations of
conductance, $\delta g(B)$, with magnetic field, $B$. The correlation function
$<\delta g(B) \delta g(B+\delta B)>$ provides information on the inelastic
scattering rate, $\tau_{in}^{-1}$, through both the variance of fluctuations
and the range of correlations in $\delta B$. We calculate this correlation
function for samples which are not fully phase coherent. Two regimes of
behaviour exist, according to whether $\tau_{in}^{-1}$ is smaller or larger
than $\tau_{\perp}^{-1}$, the rate for inter-edge tunneling, and we give
results in both regimes. We also investigate dynamical screening of Coulomb
interactions in the chiral metal and calculate the contribution to
$\tau_{in}^{-1}$ from electron-electron scattering, finding $\tau_{in}^{-1}
\propto T^{3/2}$ for $\tau_{in}^{-1} \ll \tau_{\perp}^{-1}$ at temperature $T$.
