  The Schelling model of segregation looks to explain the way in which a
population of agents or particles of two types may come to organise itself into
large homogeneous clusters, and can be seen as a variant of the Ising model in
which the system is subjected to rapid cooling. While the model has been very
extensively studied, the unperturbed (noiseless) version has largely resisted
rigorous analysis, with most results in the literature pertaining to versions
of the model in which noise is introduced into the dynamics so as to make it
amenable to standard techniques from statistical mechanics or stochastic
evolutionary game theory. We rigorously analyse the one-dimensional version of
the model in which one of the two types is in the minority, and establish
various forms of threshold behaviour. Our results are in sharp contrast with
the case when the distribution of the two types is uniform (i.e. each agent has
equal chance of being of each type in the initial configuration), which was
studied by Brandt, Immorlica, Kamath, and Kleinberg.
