%0 Journal Article
%T Translation-invariance of two-dimensional Gibbsian point processes
%A Thomas Richthammer
%J Mathematics
%D 2007
%I arXiv
%R 10.1007/s00220-007-0274-7
%X The conservation of translation as a symmetry in two-dimensional systems with interaction is a classical subject of statistical mechanics. Here we establish such a result for Gibbsian particle systems with two-body interaction, where the interesting cases of singular, hard-core and discontinuous interaction are included. We start with the special case of pure hard core repulsion in order to show how to treat hard cores in general.
%U http://arxiv.org/abs/0706.3637v1