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Richthammer, Thomas (2006): Erhaltung stetiger Symmetrien bei Gibbsschen Punktprozessen in zwei Dimensionen. Dissertation, LMU München: Fakultät für Mathematik, Informatik und Statistik
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Abstract

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.