Fixedboundary octagonal random tilings: a combinatorial approach
Abstract
Some combinatorial properties of fixed boundary rhombus random tilings with octagonal symmetry are studied. A geometrical analysis of their configuration space is given as well as a description in terms of discrete dynamical systems, thus generalizing previous results on the more restricted class of codimensionone tilings. In particular this method gives access to counting formulas, which are directly related to questions of entropy in these statistical systems. Methods and tools from the field of enumerative combinatorics are used.
 Publication:

arXiv eprints
 Pub Date:
 April 2000
 arXiv:
 arXiv:condmat/0004145
 Bibcode:
 2000cond.mat..4145D
 Keywords:

 Condensed Matter  Statistical Mechanics
 EPrint:
 36 pages, LaTeX, to appear in J. Stat. Phys (Jan. 2001)