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Loops, matchings and alternating-sign matrices

Jan de Gier
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Abstract

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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Jan de Gier. 2003-10-03. Loops, matchings and alternating-sign matrices. https://arxiv.org/abs/math/0211285

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