Random Tilings: Concepts and Examples

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dc.creatorRichard, Christoph
dc.creatorHoeffe, Moritz
dc.creatorHermisson, Joachim
dc.creatorBaake, Michael
dc.date1997-12-22
dc.date1998-08-21
dc.date.accessioned2026-07-07T09:58:44Z
dc.date.available2026-07-07T09:58:44Z
dc.descriptionWe introduce a concept for random tilings which, comprising the conventional one, is also applicable to tiling ensembles without height representation. In particular, we focus on the random tiling entropy as a function of the tile densities. In this context, and under rather mild assumptions, we prove a generalization of the first random tiling hypothesis which connects the maximum of the entropy with the symmetry of the ensemble. Explicit examples are obtained through the re-interpretation of several exactly solvable models. This also leads to a counterexample to the analogue of the second random tiling hypothesis about the form of the entropy function near its maximum.
dc.description32 pages, 42 eps-figures, Latex2e updated version, minor grammatical changes
dc.identifierhttps://arxiv.org/abs/cond-mat/9712267
dc.identifierhttp://arxiv.org/abs/cond-mat/9712267
dc.identifierJ. Phys. A: Math. Gen. 31 (1998) 6385-6408
dc.identifierdoi:10.1088/0305-4470/31/30/007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167827
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleRandom Tilings: Concepts and Examples
dc.typetext

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