Loops, matchings and alternating-sign matrices

Details Loops, matchings and alternating-sign matrices Loops, matchings and alternating-sign matrices

2002-11-18

arxiv.org/abs/math/0211285v2

Discr. Math. 298 (2005) 365-388

Mathematics

Combinatorics

LaTeX, 26 pages, 44 figures, extended version of a talk given at the 14th International Conference on Formal Power Series and

Scientific paper

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.

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