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arXiv · 0803.2697

The limit shape of large alternating sign matrices

F. Colomo·A. G. Pronko
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Abstract

The problem of the limit shape of large alternating sign matrices (ASMs) is addressed by studying the emptiness formation probability (EFP) in the domain-wall six-vertex model. Assuming that the limit shape arises in correspondence to the `condensation' of almost all solutions of the saddle-point equations for certain multiple integral representation for EFP, a conjectural expression for the limit shape of large ASMs is derived. The case of 3-enumerated ASMs is also considered.

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F. Colomo, A. G. Pronko. 2008-03-18. The limit shape of large alternating sign matrices. https://doi.org/10.1137/080730639

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