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Communications in Mathematical Physics

, Volume 274, Issue 1, pp 81–122 | Cite as

Translation-Invariance of Two-Dimensional Gibbsian Point Processes

  • Thomas Richthammer
Article

Abstract

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.

Keywords

Point Process Hard Core Gibbs Measure Lexicographic Order Translational Symmetry 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.Mathematisches Institut der Universität MünchenMünchenGermany

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