For the pure Einstein action, (12) with
, some differences between the
- and the
-measure were investigated on a
-lattice by Beirl et al [29,
30]. A constant-volume constraint was used for simulations with the
-measure, and a cutoff
for
. A study of the
k
-dependence of bulk geometric quantities agreed with previous
simulations, wherever applicable. For small
k, both measures lead essentially to identical results. For the
-measure only, one finds that
and
exhibit a jump at some
, due to the formation of spikes (isolated long link lengths,
with the areas staying small). >From this, and the study of
edge length distributions, one concludes that the DeWitt-type
measure
is generally better behaved.