Translation-invariance of two-dimensional Gibbsian point processes

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dc.creatorRichthammer, Thomas
dc.date2007-06-25
dc.date.accessioned2026-07-07T08:12:14Z
dc.date.available2026-07-07T08:12:14Z
dc.descriptionThe 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.
dc.description44 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/0706.3637
dc.identifierhttp://arxiv.org/abs/0706.3637
dc.identifierdoi:10.1007/s00220-007-0274-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132383
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject82B21 (Primary), 82B26, 82B31, 60K35 (Secondary)
dc.titleTranslation-invariance of two-dimensional Gibbsian point processes
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