Erhaltung stetiger Symmetrien bei Gibbsschen Punktprozessen in zwei Dimensionen

The conservation of continuous symmetries in two-dimensional
systems with interaction is a classical subject of statistical
mechanics. Here we establish such a result for internal
transformations and spatial translations of Gibbsian systems of
marked particles with two body-interaction, where the interesting
cases of of singular, hard-core and discontinuous interaction are
included.