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Translation-invariance of two-dimensional Gibbsian point processes

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 نشر من قبل Thomas Richthammer
 تاريخ النشر 2007
  مجال البحث فيزياء
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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.



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