  Under quite general conditions critical phenomena can be described with high
order linked cluster expansions. The coefficients of the series admit a
graphical expansion that is generated with the aid of computers. Our
generalization of linked cluster expansions from an infinite to a finite volume
allows to perform a finite size scaling analysis. We also indicate a
generalization to Dynamical Linked Cluster Expansions with possible
applications to spin glasses and neural networks with coupled spin and
interaction dynamics.
