We have obtained high signal:to:noise optical spectroscopy at 5\AA
resolution of 27 quasars from the APM z4 quasar survey. The spectra have
been analyzed to create new samples of high redshift Lyman-limit and damped
Lyman- absorbers. These data have been combined with published data
sets in a study of the redshift evolution and the column density distribution
function for absorbers with N(HI), over the redshift range 0.01
z 5. The main results are: \begin{itemize} \item Lyman limit systems:
The data are well fit by a power law for the
number density per unit redshift. For the first time intrinsic evolution is
detected in the product of the absorption cross-section and comoving spatial
number density for an Universe. We find ($\gamma =
0.5N_0 = 0.27>\gamma$ of 0.82 & 2.37. \item Damped \lya systems: The APM QSOs provide a
substantial increase in the redshift path available for damped surveys for
. Eleven candidate and three confirmed damped Ly absorption
systems, have been identified in the APM QSO spectra covering the redshift
range (11 with ). Combining the APM survey confirmed
and candidate damped \lya absorbers with previous surveys, we find evidence for
a turnover at z3 or a flattening at z2 in the cosmological mass
density of neutral gas, . \end{itemize} The Lyman limit survey
results are published in Storrie-Lombardi, et~al., 1994, ApJ, 427, L13. Here we
describe the results for the DLA population of absorbers.

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