Within the context of a recently proposed family of stochastic dynamical la
ws for causal sets, one can ask whether the universe might have emerged fro
m the quantum-gravity era with a large enough size and with sufficient homo
geneity to explain its present-day large-scale structure. In general, such
a scenario would be expected to require the introduction of very large or v
ery small fundamental parameters into the theory. However, there are indica
tions that such "fine tuning" is not necessary, and a large homogeneous and
isotropic cosmos can emerge naturally thanks to the action of a kind of re
normalization group associated with cosmic cycles of expansion and recollap
se.