14 research outputs found
Random Tilings: Concepts and Examples
We 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.Comment: 32 pages, 42 eps-figures, Latex2e updated version, minor grammatical
change
Schulnetzwerke im Übergang. Das Beispiel „Schulen im Team“.
Järvinen H, Otto J, Sartory K, Sendzik N. Schulnetzwerke im Übergang. Das Beispiel „Schulen im Team“. In: Berkemeyer N, Beutel S-I, Järvinen H, van Ophuysen S, eds. Übergänge bilden – Lernen in der Grund- und weiterführenden Schule. Neuwied: Carl Link Verlag; 2012: 208-237