2001/06/25 by Jean Betrema, J. Bétréma, Betrema, Jean +2
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Random Matrices and Applications #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #cond-mat.stat-mech #math.CO
paper · pdf · doi:10.48550/arxiv.math/0106210
French, 49 pages, see http://dept-info.labri.u-bordeaux.fr/~betrema/animaux/
arxiv created 2001/06/25 · openalex publication_date 2001/06/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give a systematic presentation of relations between lattice gas models with hard-core interactions, enumeration of directed-site animals, and the algebra of formal power-series in the partially commutative case, along the work of X.G.Viennot. We present a complete and simplified solution, using this algebra, of the directed animals enumeration problem in two dimensions, including a fast program for random generation of such animals (with uniform distribution) and images produced by this program.