Ideas from causal set theory lead to a fluctuating, time dependent
cosmological-constant of the right order of magnitude to match currently quoted
"dark energy" values. Although such a term was predicted some time ago, a more
detailed analysis of the resulting class of phenomenological models was begun
only recently (based on numerical simulation of the cosmological equations with
such a fluctuating term). In this paper we continue the investigation by
studying the sensitivity of the scheme to some of the ad hoc choices made in
setting it up.Comment: 15 pages, 6 figures, Thoroughly rewritte
