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Universality is one of the fascinating features of condensed matter
physies: it is the property whereby systems of radieally different
composition and structure ex- hibit similar behavior. In the
mid-1960s the word entered usage to express the fact that the
equations of state of several substances could be mapped onto one
another near the critical point: critieal universality.
Renormalization group theory in the early 1970s provided both an
explanation and a sharper definition of universality. Systems with
similar behavior - universality classes - correspond to the same
fixed point of a renormalization group transformation. A number of
brilliant con- tributions showed how the same concepts could be
applied to non-thermodynamie systems, such as the statisties of
self-avoiding walks or of connected clusters on a lattice. A few
years later it was realized that chaotie dynamieal systems mayaiso
exhibit some degree of universality, the paradigmatic example being
the period doubling cascade in the iterated maps of the unit
interval into itself.
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