%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