The power-law nature of the two-point and higher order
correlation functions on small scales is suggestive of some kind
of scaling behaviour, at least in the range of scales where the
power law is observed. The simplest structure that has such
scaling properties is the simple fractal, first studied in this
context by Efstathiou, Fall and Hogan (1979). Martínez and Jones
(1990) have since shown that even in this apparent scaling
regime, the distribution of galaxies is significantly more
complex. If the structure is not that of a simple fractal, what
might it be? Jones et al (1988) have suggested that it may be
Multifractal - that is, a distribution which over a certain
range of scales can be characterized by a set of dimensions
rather than just one dimension. There is scaling, albeit of a
rather complex kind. The multifractal description of the
clustering process goes beyond the two-point correlation
function, encapsulating all high order correlation functions in
one function, Dq. The power of the technique ha