2002/11/30 by Jan de Gier · 1 citation
Mathematics · Physics and Astronomy · #math.CO #math-ph #math.MP #nlin.SI #msc:05A15 #msc:82B23
published as Discr. Math. 298 (2005) 365-388 · LaTeX, 26 pages, 44 figures, extended version of a talk given at the 14th International Conference on Formal Power Series and Algebraic Combinatorics (Melbourne 2002); Version2: Changed title, expanded some sections and included more pictures
arxiv created 2003/10/03 · arxiv updated 2009/11/30
The appearance of numbers enumerating alternating sign matrices in stationary states of certain stochastic processes is reviewed. New conjectures concerning nest distribution functions are presented as well as a bijection between certain classes of alternating sign matrices and lozenge tilings of hexagons with cut off corners.