Translation-invariance of two-dimensional Gibbsian point processes - Mathematics > ProbabilityReport as inadecuate




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Abstract: The conservation of translation as a symmetry in two-dimensional systems withinteraction is a classical subject of statistical mechanics. Here we establishsuch a result for Gibbsian particle systems with two-body interaction, wherethe interesting cases of singular, hard-core and discontinuous interaction areincluded. We start with the special case of pure hard core repulsion in orderto show how to treat hard cores in general.



Author: Thomas Richthammer

Source: https://arxiv.org/







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